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Finding the Third Proportional to 765,264 and 1,668,316.50

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Solution

The third proportional to 765,264 and 1,668,316.50 is: 3,637,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,264 : 1,668,316.50 = 1,668,316.50 : x
  2. Step 2: Convert to fraction form
    765,264/1,668,316.50 = 1,668,316.50/x
  3. Step 3: Cross multiply
    765,264x = 1,668,316.50 × 1,668,316.50
  4. Step 4: Simplify right side
    765,264x = 2,783,279,944,172.25
  5. Step 5: Solve for x
    x = 2,783,279,944,172.25/765,264
  6. Step 6: Final answer
    x = 3,637,019.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.