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Finding the Third Proportional to 364,113.56 and 742,685.63

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Solution

The third proportional to 364,113.56 and 742,685.63 is: 1,514,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,113.56 : 742,685.63 = 742,685.63 : x
  2. Step 2: Convert to fraction form
    364,113.56/742,685.63 = 742,685.63/x
  3. Step 3: Cross multiply
    364,113.56x = 742,685.63 × 742,685.63
  4. Step 4: Simplify right side
    364,113.56x = 551,581,937,581.64
  5. Step 5: Solve for x
    x = 551,581,937,581.64/364,113.56
  6. Step 6: Final answer
    x = 1,514,862.38

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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.