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Finding the Third Proportional to 461,655 and 695,520

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Solution

The third proportional to 461,655 and 695,520 is: 1,047,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,655 : 695,520 = 695,520 : x
  2. Step 2: Convert to fraction form
    461,655/695,520 = 695,520/x
  3. Step 3: Cross multiply
    461,655x = 695,520 × 695,520
  4. Step 4: Simplify right side
    461,655x = 483,748,070,400
  5. Step 5: Solve for x
    x = 483,748,070,400/461,655
  6. Step 6: Final answer
    x = 1,047,856.24

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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.