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Finding the Third Proportional to 370,464 and 798,528

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Solution

The third proportional to 370,464 and 798,528 is: 1,721,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,464 : 798,528 = 798,528 : x
  2. Step 2: Convert to fraction form
    370,464/798,528 = 798,528/x
  3. Step 3: Cross multiply
    370,464x = 798,528 × 798,528
  4. Step 4: Simplify right side
    370,464x = 637,646,966,784
  5. Step 5: Solve for x
    x = 637,646,966,784/370,464
  6. Step 6: Final answer
    x = 1,721,211.69

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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.