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Finding the Third Proportional to 359,622 and 775,332

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Solution

The third proportional to 359,622 and 775,332 is: 1,671,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,622 : 775,332 = 775,332 : x
  2. Step 2: Convert to fraction form
    359,622/775,332 = 775,332/x
  3. Step 3: Cross multiply
    359,622x = 775,332 × 775,332
  4. Step 4: Simplify right side
    359,622x = 601,139,710,224
  5. Step 5: Solve for x
    x = 601,139,710,224/359,622
  6. Step 6: Final answer
    x = 1,671,587.70

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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.