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Finding the Third Proportional to 461,620 and 730,332

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Solution

The third proportional to 461,620 and 730,332 is: 1,155,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,620 : 730,332 = 730,332 : x
  2. Step 2: Convert to fraction form
    461,620/730,332 = 730,332/x
  3. Step 3: Cross multiply
    461,620x = 730,332 × 730,332
  4. Step 4: Simplify right side
    461,620x = 533,384,830,224
  5. Step 5: Solve for x
    x = 533,384,830,224/461,620
  6. Step 6: Final answer
    x = 1,155,463.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.