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Finding the Third Proportional to 461,639 and 695,496

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Solution

The third proportional to 461,639 and 695,496 is: 1,047,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,639 : 695,496 = 695,496 : x
  2. Step 2: Convert to fraction form
    461,639/695,496 = 695,496/x
  3. Step 3: Cross multiply
    461,639x = 695,496 × 695,496
  4. Step 4: Simplify right side
    461,639x = 483,714,686,016
  5. Step 5: Solve for x
    x = 483,714,686,016/461,639
  6. Step 6: Final answer
    x = 1,047,820.24

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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.