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Finding the Third Proportional to 344,166 and 745,528

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Solution

The third proportional to 344,166 and 745,528 is: 1,614,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,166 : 745,528 = 745,528 : x
  2. Step 2: Convert to fraction form
    344,166/745,528 = 745,528/x
  3. Step 3: Cross multiply
    344,166x = 745,528 × 745,528
  4. Step 4: Simplify right side
    344,166x = 555,811,998,784
  5. Step 5: Solve for x
    x = 555,811,998,784/344,166
  6. Step 6: Final answer
    x = 1,614,953.25

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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.