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Finding the Third Proportional to 461,582 and 698,550

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Solution

The third proportional to 461,582 and 698,550 is: 1,057,173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,582 : 698,550 = 698,550 : x
  2. Step 2: Convert to fraction form
    461,582/698,550 = 698,550/x
  3. Step 3: Cross multiply
    461,582x = 698,550 × 698,550
  4. Step 4: Simplify right side
    461,582x = 487,972,102,500
  5. Step 5: Solve for x
    x = 487,972,102,500/461,582
  6. Step 6: Final answer
    x = 1,057,173.16

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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.