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Finding the Third Proportional to 467,534 and 661,557

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Solution

The third proportional to 467,534 and 661,557 is: 936,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,534 : 661,557 = 661,557 : x
  2. Step 2: Convert to fraction form
    467,534/661,557 = 661,557/x
  3. Step 3: Cross multiply
    467,534x = 661,557 × 661,557
  4. Step 4: Simplify right side
    467,534x = 437,657,664,249
  5. Step 5: Solve for x
    x = 437,657,664,249/467,534
  6. Step 6: Final answer
    x = 936,098.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.