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Finding the Third Proportional to 583,264.13 and 905,242.50

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Solution

The third proportional to 583,264.13 and 905,242.50 is: 1,404,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,264.13 : 905,242.50 = 905,242.50 : x
  2. Step 2: Convert to fraction form
    583,264.13/905,242.50 = 905,242.50/x
  3. Step 3: Cross multiply
    583,264.13x = 905,242.50 × 905,242.50
  4. Step 4: Simplify right side
    583,264.13x = 819,463,983,806.25
  5. Step 5: Solve for x
    x = 819,463,983,806.25/583,264.13
  6. Step 6: Final answer
    x = 1,404,962.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.