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Finding the Third Proportional to 289,331.13 and 450,562.58

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Solution

The third proportional to 289,331.13 and 450,562.58 is: 701,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,331.13 : 450,562.58 = 450,562.58 : x
  2. Step 2: Convert to fraction form
    289,331.13/450,562.58 = 450,562.58/x
  3. Step 3: Cross multiply
    289,331.13x = 450,562.58 × 450,562.58
  4. Step 4: Simplify right side
    289,331.13x = 203,006,637,686.63
  5. Step 5: Solve for x
    x = 203,006,637,686.63/289,331.13
  6. Step 6: Final answer
    x = 701,641.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.