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Finding the Third Proportional to 456,630 and 716,292

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Solution

The third proportional to 456,630 and 716,292 is: 1,123,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,630 : 716,292 = 716,292 : x
  2. Step 2: Convert to fraction form
    456,630/716,292 = 716,292/x
  3. Step 3: Cross multiply
    456,630x = 716,292 × 716,292
  4. Step 4: Simplify right side
    456,630x = 513,074,229,264
  5. Step 5: Solve for x
    x = 513,074,229,264/456,630
  6. Step 6: Final answer
    x = 1,123,610.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.