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Finding the Third Proportional to 583,339 and 784,612.50

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Solution

The third proportional to 583,339 and 784,612.50 is: 1,055,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,339 : 784,612.50 = 784,612.50 : x
  2. Step 2: Convert to fraction form
    583,339/784,612.50 = 784,612.50/x
  3. Step 3: Cross multiply
    583,339x = 784,612.50 × 784,612.50
  4. Step 4: Simplify right side
    583,339x = 615,616,775,156.25
  5. Step 5: Solve for x
    x = 615,616,775,156.25/583,339
  6. Step 6: Final answer
    x = 1,055,332.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.