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Finding the Third Proportional to 364,127 and 742,713

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Solution

The third proportional to 364,127 and 742,713 is: 1,514,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,127 : 742,713 = 742,713 : x
  2. Step 2: Convert to fraction form
    364,127/742,713 = 742,713/x
  3. Step 3: Cross multiply
    364,127x = 742,713 × 742,713
  4. Step 4: Simplify right side
    364,127x = 551,622,600,369
  5. Step 5: Solve for x
    x = 551,622,600,369/364,127
  6. Step 6: Final answer
    x = 1,514,918.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.