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Finding the Third Proportional to 583,155.56 and 912,825.56

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Solution

The third proportional to 583,155.56 and 912,825.56 is: 1,428,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,155.56 : 912,825.56 = 912,825.56 : x
  2. Step 2: Convert to fraction form
    583,155.56/912,825.56 = 912,825.56/x
  3. Step 3: Cross multiply
    583,155.56x = 912,825.56 × 912,825.56
  4. Step 4: Simplify right side
    583,155.56x = 833,250,507,553.44
  5. Step 5: Solve for x
    x = 833,250,507,553.44/583,155.56
  6. Step 6: Final answer
    x = 1,428,864.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.