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Finding the Third Proportional to 340,448 and 732,160

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Solution

The third proportional to 340,448 and 732,160 is: 1,574,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,448 : 732,160 = 732,160 : x
  2. Step 2: Convert to fraction form
    340,448/732,160 = 732,160/x
  3. Step 3: Cross multiply
    340,448x = 732,160 × 732,160
  4. Step 4: Simplify right side
    340,448x = 536,058,265,600
  5. Step 5: Solve for x
    x = 536,058,265,600/340,448
  6. Step 6: Final answer
    x = 1,574,567.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.