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Finding the Third Proportional to 498,853.50 and 760,737

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Solution

The third proportional to 498,853.50 and 760,737 is: 1,160,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,853.50 : 760,737 = 760,737 : x
  2. Step 2: Convert to fraction form
    498,853.50/760,737 = 760,737/x
  3. Step 3: Cross multiply
    498,853.50x = 760,737 × 760,737
  4. Step 4: Simplify right side
    498,853.50x = 578,720,783,169
  5. Step 5: Solve for x
    x = 578,720,783,169/498,853.50
  6. Step 6: Final answer
    x = 1,160,101.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.