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Finding the Third Proportional to 370,696.50 and 810,010.13

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Solution

The third proportional to 370,696.50 and 810,010.13 is: 1,769,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,696.50 : 810,010.13 = 810,010.13 : x
  2. Step 2: Convert to fraction form
    370,696.50/810,010.13 = 810,010.13/x
  3. Step 3: Cross multiply
    370,696.50x = 810,010.13 × 810,010.13
  4. Step 4: Simplify right side
    370,696.50x = 656,116,402,602.52
  5. Step 5: Solve for x
    x = 656,116,402,602.52/370,696.50
  6. Step 6: Final answer
    x = 1,769,955.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.