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Finding the Third Proportional to 493,866 and 737,547

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Solution

The third proportional to 493,866 and 737,547 is: 1,101,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,866 : 737,547 = 737,547 : x
  2. Step 2: Convert to fraction form
    493,866/737,547 = 737,547/x
  3. Step 3: Cross multiply
    493,866x = 737,547 × 737,547
  4. Step 4: Simplify right side
    493,866x = 543,975,577,209
  5. Step 5: Solve for x
    x = 543,975,577,209/493,866
  6. Step 6: Final answer
    x = 1,101,463.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.