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Finding the Third Proportional to 292,905 and 468,839.25

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Solution

The third proportional to 292,905 and 468,839.25 is: 750,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,905 : 468,839.25 = 468,839.25 : x
  2. Step 2: Convert to fraction form
    292,905/468,839.25 = 468,839.25/x
  3. Step 3: Cross multiply
    292,905x = 468,839.25 × 468,839.25
  4. Step 4: Simplify right side
    292,905x = 219,810,242,340.56
  5. Step 5: Solve for x
    x = 219,810,242,340.56/292,905
  6. Step 6: Final answer
    x = 750,448.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.