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Finding the Third Proportional to 486,995.50 and 748,962.50

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Solution

The third proportional to 486,995.50 and 748,962.50 is: 1,151,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,995.50 : 748,962.50 = 748,962.50 : x
  2. Step 2: Convert to fraction form
    486,995.50/748,962.50 = 748,962.50/x
  3. Step 3: Cross multiply
    486,995.50x = 748,962.50 × 748,962.50
  4. Step 4: Simplify right side
    486,995.50x = 560,944,826,406.25
  5. Step 5: Solve for x
    x = 560,944,826,406.25/486,995.50
  6. Step 6: Final answer
    x = 1,151,848.07

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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.