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Finding the Third Proportional to 393,552 and 849,312

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Solution

The third proportional to 393,552 and 849,312 is: 1,832,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,552 : 849,312 = 849,312 : x
  2. Step 2: Convert to fraction form
    393,552/849,312 = 849,312/x
  3. Step 3: Cross multiply
    393,552x = 849,312 × 849,312
  4. Step 4: Simplify right side
    393,552x = 721,330,873,344
  5. Step 5: Solve for x
    x = 721,330,873,344/393,552
  6. Step 6: Final answer
    x = 1,832,873.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.