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Finding the Third Proportional to 336,528 and 725,520

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Solution

The third proportional to 336,528 and 725,520 is: 1,564,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,528 : 725,520 = 725,520 : x
  2. Step 2: Convert to fraction form
    336,528/725,520 = 725,520/x
  3. Step 3: Cross multiply
    336,528x = 725,520 × 725,520
  4. Step 4: Simplify right side
    336,528x = 526,379,270,400
  5. Step 5: Solve for x
    x = 526,379,270,400/336,528
  6. Step 6: Final answer
    x = 1,564,147.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.