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Finding the Third Proportional to 748,628 and 976,413

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Solution

The third proportional to 748,628 and 976,413 is: 1,273,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,628 : 976,413 = 976,413 : x
  2. Step 2: Convert to fraction form
    748,628/976,413 = 976,413/x
  3. Step 3: Cross multiply
    748,628x = 976,413 × 976,413
  4. Step 4: Simplify right side
    748,628x = 953,382,346,569
  5. Step 5: Solve for x
    x = 953,382,346,569/748,628
  6. Step 6: Final answer
    x = 1,273,506.13

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.