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Finding the Third Proportional to 466,931.25 and 721,128.38

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Solution

The third proportional to 466,931.25 and 721,128.38 is: 1,113,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,931.25 : 721,128.38 = 721,128.38 : x
  2. Step 2: Convert to fraction form
    466,931.25/721,128.38 = 721,128.38/x
  3. Step 3: Cross multiply
    466,931.25x = 721,128.38 × 721,128.38
  4. Step 4: Simplify right side
    466,931.25x = 520,026,133,230.14
  5. Step 5: Solve for x
    x = 520,026,133,230.14/466,931.25
  6. Step 6: Final answer
    x = 1,113,710.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.