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Finding the Third Proportional to 336,532 and 725,528

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Solution

The third proportional to 336,532 and 725,528 is: 1,564,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,532 : 725,528 = 725,528 : x
  2. Step 2: Convert to fraction form
    336,532/725,528 = 725,528/x
  3. Step 3: Cross multiply
    336,532x = 725,528 × 725,528
  4. Step 4: Simplify right side
    336,532x = 526,390,878,784
  5. Step 5: Solve for x
    x = 526,390,878,784/336,532
  6. Step 6: Final answer
    x = 1,564,162.93

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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.