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Finding the Third Proportional to 583,327.50 and 784,594.50

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Solution

The third proportional to 583,327.50 and 784,594.50 is: 1,055,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,327.50 : 784,594.50 = 784,594.50 : x
  2. Step 2: Convert to fraction form
    583,327.50/784,594.50 = 784,594.50/x
  3. Step 3: Cross multiply
    583,327.50x = 784,594.50 × 784,594.50
  4. Step 4: Simplify right side
    583,327.50x = 615,588,529,430.25
  5. Step 5: Solve for x
    x = 615,588,529,430.25/583,327.50
  6. Step 6: Final answer
    x = 1,055,305.17

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Why These Related Problems?

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