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Finding the Third Proportional to 364,144 and 742,746

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Solution

The third proportional to 364,144 and 742,746 is: 1,514,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,144 : 742,746 = 742,746 : x
  2. Step 2: Convert to fraction form
    364,144/742,746 = 742,746/x
  3. Step 3: Cross multiply
    364,144x = 742,746 × 742,746
  4. Step 4: Simplify right side
    364,144x = 551,671,620,516
  5. Step 5: Solve for x
    x = 551,671,620,516/364,144
  6. Step 6: Final answer
    x = 1,514,982.04

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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.