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Finding the Third Proportional to 358,498 and 780,216

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Solution

The third proportional to 358,498 and 780,216 is: 1,698,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,498 : 780,216 = 780,216 : x
  2. Step 2: Convert to fraction form
    358,498/780,216 = 780,216/x
  3. Step 3: Cross multiply
    358,498x = 780,216 × 780,216
  4. Step 4: Simplify right side
    358,498x = 608,737,006,656
  5. Step 5: Solve for x
    x = 608,737,006,656/358,498
  6. Step 6: Final answer
    x = 1,698,020.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.