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Finding the Third Proportional to 583,083 and 899,531

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Solution

The third proportional to 583,083 and 899,531 is: 1,387,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,083 : 899,531 = 899,531 : x
  2. Step 2: Convert to fraction form
    583,083/899,531 = 899,531/x
  3. Step 3: Cross multiply
    583,083x = 899,531 × 899,531
  4. Step 4: Simplify right side
    583,083x = 809,156,019,961
  5. Step 5: Solve for x
    x = 809,156,019,961/583,083
  6. Step 6: Final answer
    x = 1,387,720.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.