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Finding the Third Proportional to 507,645.98 and 761,565.80

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Solution

The third proportional to 507,645.98 and 761,565.80 is: 1,142,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,645.98 : 761,565.80 = 761,565.80 : x
  2. Step 2: Convert to fraction form
    507,645.98/761,565.80 = 761,565.80/x
  3. Step 3: Cross multiply
    507,645.98x = 761,565.80 × 761,565.80
  4. Step 4: Simplify right side
    507,645.98x = 579,982,462,969.85
  5. Step 5: Solve for x
    x = 579,982,462,969.85/507,645.98
  6. Step 6: Final answer
    x = 1,142,493.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.