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Finding the Third Proportional to 366,570 and 567,585

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Solution

The third proportional to 366,570 and 567,585 is: 878,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,570 : 567,585 = 567,585 : x
  2. Step 2: Convert to fraction form
    366,570/567,585 = 567,585/x
  3. Step 3: Cross multiply
    366,570x = 567,585 × 567,585
  4. Step 4: Simplify right side
    366,570x = 322,152,732,225
  5. Step 5: Solve for x
    x = 322,152,732,225/366,570
  6. Step 6: Final answer
    x = 878,830.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.