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Finding the Third Proportional to 614,719.13 and 962,254.69

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Solution

The third proportional to 614,719.13 and 962,254.69 is: 1,506,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,719.13 : 962,254.69 = 962,254.69 : x
  2. Step 2: Convert to fraction form
    614,719.13/962,254.69 = 962,254.69/x
  3. Step 3: Cross multiply
    614,719.13x = 962,254.69 × 962,254.69
  4. Step 4: Simplify right side
    614,719.13x = 925,934,083,615.72
  5. Step 5: Solve for x
    x = 925,934,083,615.72/614,719.13
  6. Step 6: Final answer
    x = 1,506,271.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.