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Finding the Third Proportional to 359,588 and 775,220

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Solution

The third proportional to 359,588 and 775,220 is: 1,671,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,588 : 775,220 = 775,220 : x
  2. Step 2: Convert to fraction form
    359,588/775,220 = 775,220/x
  3. Step 3: Cross multiply
    359,588x = 775,220 × 775,220
  4. Step 4: Simplify right side
    359,588x = 600,966,048,400
  5. Step 5: Solve for x
    x = 600,966,048,400/359,588
  6. Step 6: Final answer
    x = 1,671,262.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.