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Finding the Third Proportional to 516,386 and 782,307

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Solution

The third proportional to 516,386 and 782,307 is: 1,185,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,386 : 782,307 = 782,307 : x
  2. Step 2: Convert to fraction form
    516,386/782,307 = 782,307/x
  3. Step 3: Cross multiply
    516,386x = 782,307 × 782,307
  4. Step 4: Simplify right side
    516,386x = 612,004,242,249
  5. Step 5: Solve for x
    x = 612,004,242,249/516,386
  6. Step 6: Final answer
    x = 1,185,168.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.