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Finding the Third Proportional to 461,688 and 695,574

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Solution

The third proportional to 461,688 and 695,574 is: 1,047,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,688 : 695,574 = 695,574 : x
  2. Step 2: Convert to fraction form
    461,688/695,574 = 695,574/x
  3. Step 3: Cross multiply
    461,688x = 695,574 × 695,574
  4. Step 4: Simplify right side
    461,688x = 483,823,189,476
  5. Step 5: Solve for x
    x = 483,823,189,476/461,688
  6. Step 6: Final answer
    x = 1,047,944.04

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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.