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Finding the Third Proportional to 590,045.77 and 911,132.30

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Solution

The third proportional to 590,045.77 and 911,132.30 is: 1,406,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,045.77 : 911,132.30 = 911,132.30 : x
  2. Step 2: Convert to fraction form
    590,045.77/911,132.30 = 911,132.30/x
  3. Step 3: Cross multiply
    590,045.77x = 911,132.30 × 911,132.30
  4. Step 4: Simplify right side
    590,045.77x = 830,162,062,408.71
  5. Step 5: Solve for x
    x = 830,162,062,408.71/590,045.77
  6. Step 6: Final answer
    x = 1,406,945.21

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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.