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Finding the Third Proportional to 583,048.13 and 899,479.69

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Solution

The third proportional to 583,048.13 and 899,479.69 is: 1,387,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,048.13 : 899,479.69 = 899,479.69 : x
  2. Step 2: Convert to fraction form
    583,048.13/899,479.69 = 899,479.69/x
  3. Step 3: Cross multiply
    583,048.13x = 899,479.69 × 899,479.69
  4. Step 4: Simplify right side
    583,048.13x = 809,063,708,225.10
  5. Step 5: Solve for x
    x = 809,063,708,225.10/583,048.13
  6. Step 6: Final answer
    x = 1,387,644.82

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