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Finding the Third Proportional to 359,284 and 563,611

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Solution

The third proportional to 359,284 and 563,611 is: 884,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,284 : 563,611 = 563,611 : x
  2. Step 2: Convert to fraction form
    359,284/563,611 = 563,611/x
  3. Step 3: Cross multiply
    359,284x = 563,611 × 563,611
  4. Step 4: Simplify right side
    359,284x = 317,657,359,321
  5. Step 5: Solve for x
    x = 317,657,359,321/359,284
  6. Step 6: Final answer
    x = 884,140.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.