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Finding the Third Proportional to 507,646.13 and 761,568.75

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Solution

The third proportional to 507,646.13 and 761,568.75 is: 1,142,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,646.13 : 761,568.75 = 761,568.75 : x
  2. Step 2: Convert to fraction form
    507,646.13/761,568.75 = 761,568.75/x
  3. Step 3: Cross multiply
    507,646.13x = 761,568.75 × 761,568.75
  4. Step 4: Simplify right side
    507,646.13x = 579,986,960,976.56
  5. Step 5: Solve for x
    x = 579,986,960,976.56/507,646.13
  6. Step 6: Final answer
    x = 1,142,502.49

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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.