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Finding the Third Proportional to 288,693,410 and 417,112,113

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Solution

The third proportional to 288,693,410 and 417,112,113 is: 602,654,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,693,410 : 417,112,113 = 417,112,113 : x
  2. Step 2: Convert to fraction form
    288,693,410/417,112,113 = 417,112,113/x
  3. Step 3: Cross multiply
    288,693,410x = 417,112,113 × 417,112,113
  4. Step 4: Simplify right side
    288,693,410x = 173,982,514,811,324,768
  5. Step 5: Solve for x
    x = 173,982,514,811,324,768/288,693,410
  6. Step 6: Final answer
    x = 602,654,957.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.