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Finding the Third Proportional to 456,324 and 709,374

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Solution

The third proportional to 456,324 and 709,374 is: 1,102,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,324 : 709,374 = 709,374 : x
  2. Step 2: Convert to fraction form
    456,324/709,374 = 709,374/x
  3. Step 3: Cross multiply
    456,324x = 709,374 × 709,374
  4. Step 4: Simplify right side
    456,324x = 503,211,471,876
  5. Step 5: Solve for x
    x = 503,211,471,876/456,324
  6. Step 6: Final answer
    x = 1,102,750.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.