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Finding the Third Proportional to 359,292 and 563,623

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Solution

The third proportional to 359,292 and 563,623 is: 884,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,292 : 563,623 = 563,623 : x
  2. Step 2: Convert to fraction form
    359,292/563,623 = 563,623/x
  3. Step 3: Cross multiply
    359,292x = 563,623 × 563,623
  4. Step 4: Simplify right side
    359,292x = 317,670,886,129
  5. Step 5: Solve for x
    x = 317,670,886,129/359,292
  6. Step 6: Final answer
    x = 884,157.97

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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.