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Finding the Third Proportional to 461,548 and 698,468

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Solution

The third proportional to 461,548 and 698,468 is: 1,057,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,548 : 698,468 = 698,468 : x
  2. Step 2: Convert to fraction form
    461,548/698,468 = 698,468/x
  3. Step 3: Cross multiply
    461,548x = 698,468 × 698,468
  4. Step 4: Simplify right side
    461,548x = 487,857,547,024
  5. Step 5: Solve for x
    x = 487,857,547,024/461,548
  6. Step 6: Final answer
    x = 1,057,002.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.