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Finding the Third Proportional to 515,185 and 788,076

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Solution

The third proportional to 515,185 and 788,076 is: 1,205,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,185 : 788,076 = 788,076 : x
  2. Step 2: Convert to fraction form
    515,185/788,076 = 788,076/x
  3. Step 3: Cross multiply
    515,185x = 788,076 × 788,076
  4. Step 4: Simplify right side
    515,185x = 621,063,781,776
  5. Step 5: Solve for x
    x = 621,063,781,776/515,185
  6. Step 6: Final answer
    x = 1,205,516.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.