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Finding the Third Proportional to 357,678.75 and 537,210

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Solution

The third proportional to 357,678.75 and 537,210 is: 806,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,678.75 : 537,210 = 537,210 : x
  2. Step 2: Convert to fraction form
    357,678.75/537,210 = 537,210/x
  3. Step 3: Cross multiply
    357,678.75x = 537,210 × 537,210
  4. Step 4: Simplify right side
    357,678.75x = 288,594,584,100
  5. Step 5: Solve for x
    x = 288,594,584,100/357,678.75
  6. Step 6: Final answer
    x = 806,854.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.