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Finding the Third Proportional to 592,294.88 and 866,228.63

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Solution

The third proportional to 592,294.88 and 866,228.63 is: 1,266,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,294.88 : 866,228.63 = 866,228.63 : x
  2. Step 2: Convert to fraction form
    592,294.88/866,228.63 = 866,228.63/x
  3. Step 3: Cross multiply
    592,294.88x = 866,228.63 × 866,228.63
  4. Step 4: Simplify right side
    592,294.88x = 750,352,030,769.39
  5. Step 5: Solve for x
    x = 750,352,030,769.39/592,294.88
  6. Step 6: Final answer
    x = 1,266,855.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.