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Finding the Third Proportional to 364,125 and 742,708.50

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Solution

The third proportional to 364,125 and 742,708.50 is: 1,514,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,125 : 742,708.50 = 742,708.50 : x
  2. Step 2: Convert to fraction form
    364,125/742,708.50 = 742,708.50/x
  3. Step 3: Cross multiply
    364,125x = 742,708.50 × 742,708.50
  4. Step 4: Simplify right side
    364,125x = 551,615,915,972.25
  5. Step 5: Solve for x
    x = 551,615,915,972.25/364,125
  6. Step 6: Final answer
    x = 1,514,908.11

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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.