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Finding the Third Proportional to 583,153.31 and 912,799.13

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Solution

The third proportional to 583,153.31 and 912,799.13 is: 1,428,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,153.31 : 912,799.13 = 912,799.13 : x
  2. Step 2: Convert to fraction form
    583,153.31/912,799.13 = 912,799.13/x
  3. Step 3: Cross multiply
    583,153.31x = 912,799.13 × 912,799.13
  4. Step 4: Simplify right side
    583,153.31x = 833,202,242,600.77
  5. Step 5: Solve for x
    x = 833,202,242,600.77/583,153.31
  6. Step 6: Final answer
    x = 1,428,787.64

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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.