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Finding the Third Proportional to 344,521 and 738,854

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Solution

The third proportional to 344,521 and 738,854 is: 1,584,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,521 : 738,854 = 738,854 : x
  2. Step 2: Convert to fraction form
    344,521/738,854 = 738,854/x
  3. Step 3: Cross multiply
    344,521x = 738,854 × 738,854
  4. Step 4: Simplify right side
    344,521x = 545,905,233,316
  5. Step 5: Solve for x
    x = 545,905,233,316/344,521
  6. Step 6: Final answer
    x = 1,584,533.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.