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Finding the Third Proportional to 460,518.75 and 710,434.13

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Solution

The third proportional to 460,518.75 and 710,434.13 is: 1,095,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,518.75 : 710,434.13 = 710,434.13 : x
  2. Step 2: Convert to fraction form
    460,518.75/710,434.13 = 710,434.13/x
  3. Step 3: Cross multiply
    460,518.75x = 710,434.13 × 710,434.13
  4. Step 4: Simplify right side
    460,518.75x = 504,716,645,964.52
  5. Step 5: Solve for x
    x = 504,716,645,964.52/460,518.75
  6. Step 6: Final answer
    x = 1,095,974.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.