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Finding the Third Proportional to 334,389 and 745,363

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Solution

The third proportional to 334,389 and 745,363 is: 1,661,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,389 : 745,363 = 745,363 : x
  2. Step 2: Convert to fraction form
    334,389/745,363 = 745,363/x
  3. Step 3: Cross multiply
    334,389x = 745,363 × 745,363
  4. Step 4: Simplify right side
    334,389x = 555,566,001,769
  5. Step 5: Solve for x
    x = 555,566,001,769/334,389
  6. Step 6: Final answer
    x = 1,661,436.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.