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Finding the Third Proportional to 334,386 and 721,017

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Solution

The third proportional to 334,386 and 721,017 is: 1,554,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,386 : 721,017 = 721,017 : x
  2. Step 2: Convert to fraction form
    334,386/721,017 = 721,017/x
  3. Step 3: Cross multiply
    334,386x = 721,017 × 721,017
  4. Step 4: Simplify right side
    334,386x = 519,865,514,289
  5. Step 5: Solve for x
    x = 519,865,514,289/334,386
  6. Step 6: Final answer
    x = 1,554,686.84

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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.