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Finding the Third Proportional to 336,640 and 730,506

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Solution

The third proportional to 336,640 and 730,506 is: 1,585,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,640 : 730,506 = 730,506 : x
  2. Step 2: Convert to fraction form
    336,640/730,506 = 730,506/x
  3. Step 3: Cross multiply
    336,640x = 730,506 × 730,506
  4. Step 4: Simplify right side
    336,640x = 533,639,016,036
  5. Step 5: Solve for x
    x = 533,639,016,036/336,640
  6. Step 6: Final answer
    x = 1,585,191.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.