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Finding the Third Proportional to 253,722,304.13 and 403,726,258.69

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Solution

The third proportional to 253,722,304.13 and 403,726,258.69 is: 642,414,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,722,304.13 : 403,726,258.69 = 403,726,258.69 : x
  2. Step 2: Convert to fraction form
    253,722,304.13/403,726,258.69 = 403,726,258.69/x
  3. Step 3: Cross multiply
    253,722,304.13x = 403,726,258.69 × 403,726,258.69
  4. Step 4: Simplify right side
    253,722,304.13x = 162,994,891,953,806,176
  5. Step 5: Solve for x
    x = 162,994,891,953,806,176/253,722,304.13
  6. Step 6: Final answer
    x = 642,414,518.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.