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Finding the Third Proportional to 332,884 and 712,424

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Solution

The third proportional to 332,884 and 712,424 is: 1,524,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,884 : 712,424 = 712,424 : x
  2. Step 2: Convert to fraction form
    332,884/712,424 = 712,424/x
  3. Step 3: Cross multiply
    332,884x = 712,424 × 712,424
  4. Step 4: Simplify right side
    332,884x = 507,547,955,776
  5. Step 5: Solve for x
    x = 507,547,955,776/332,884
  6. Step 6: Final answer
    x = 1,524,699.16

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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.