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Finding the Third Proportional to 517,014 and 772,434

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Solution

The third proportional to 517,014 and 772,434 is: 1,154,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,014 : 772,434 = 772,434 : x
  2. Step 2: Convert to fraction form
    517,014/772,434 = 772,434/x
  3. Step 3: Cross multiply
    517,014x = 772,434 × 772,434
  4. Step 4: Simplify right side
    517,014x = 596,654,284,356
  5. Step 5: Solve for x
    x = 596,654,284,356/517,014
  6. Step 6: Final answer
    x = 1,154,038.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.