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Finding the Third Proportional to 334,146 and 720,454

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Solution

The third proportional to 334,146 and 720,454 is: 1,553,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,146 : 720,454 = 720,454 : x
  2. Step 2: Convert to fraction form
    334,146/720,454 = 720,454/x
  3. Step 3: Cross multiply
    334,146x = 720,454 × 720,454
  4. Step 4: Simplify right side
    334,146x = 519,053,966,116
  5. Step 5: Solve for x
    x = 519,053,966,116/334,146
  6. Step 6: Final answer
    x = 1,553,374.77

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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.