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Finding the Third Proportional to 340,160 and 742,488

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Solution

The third proportional to 340,160 and 742,488 is: 1,620,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,160 : 742,488 = 742,488 : x
  2. Step 2: Convert to fraction form
    340,160/742,488 = 742,488/x
  3. Step 3: Cross multiply
    340,160x = 742,488 × 742,488
  4. Step 4: Simplify right side
    340,160x = 551,288,430,144
  5. Step 5: Solve for x
    x = 551,288,430,144/340,160
  6. Step 6: Final answer
    x = 1,620,673.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.