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Finding the Third Proportional to 459,075.94 and 698,770.13

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Solution

The third proportional to 459,075.94 and 698,770.13 is: 1,063,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,075.94 : 698,770.13 = 698,770.13 : x
  2. Step 2: Convert to fraction form
    459,075.94/698,770.13 = 698,770.13/x
  3. Step 3: Cross multiply
    459,075.94x = 698,770.13 × 698,770.13
  4. Step 4: Simplify right side
    459,075.94x = 488,279,687,592.52
  5. Step 5: Solve for x
    x = 488,279,687,592.52/459,075.94
  6. Step 6: Final answer
    x = 1,063,614.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.