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Finding the Third Proportional to 592,315.50 and 866,259

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Solution

The third proportional to 592,315.50 and 866,259 is: 1,266,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,315.50 : 866,259 = 866,259 : x
  2. Step 2: Convert to fraction form
    592,315.50/866,259 = 866,259/x
  3. Step 3: Cross multiply
    592,315.50x = 866,259 × 866,259
  4. Step 4: Simplify right side
    592,315.50x = 750,404,655,081
  5. Step 5: Solve for x
    x = 750,404,655,081/592,315.50
  6. Step 6: Final answer
    x = 1,266,900.25

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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.