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Finding the Third Proportional to 679,532.63 and 816,085.13

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Solution

The third proportional to 679,532.63 and 816,085.13 is: 980,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,532.63 : 816,085.13 = 816,085.13 : x
  2. Step 2: Convert to fraction form
    679,532.63/816,085.13 = 816,085.13/x
  3. Step 3: Cross multiply
    679,532.63x = 816,085.13 × 816,085.13
  4. Step 4: Simplify right side
    679,532.63x = 665,994,931,246.27
  5. Step 5: Solve for x
    x = 665,994,931,246.27/679,532.63
  6. Step 6: Final answer
    x = 980,077.93

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.