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Finding the Third Proportional to 583,165.69 and 912,817.69

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Solution

The third proportional to 583,165.69 and 912,817.69 is: 1,428,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,165.69 : 912,817.69 = 912,817.69 : x
  2. Step 2: Convert to fraction form
    583,165.69/912,817.69 = 912,817.69/x
  3. Step 3: Cross multiply
    583,165.69x = 912,817.69 × 912,817.69
  4. Step 4: Simplify right side
    583,165.69x = 833,236,130,612.85
  5. Step 5: Solve for x
    x = 833,236,130,612.85/583,165.69
  6. Step 6: Final answer
    x = 1,428,815.43

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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.