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Finding the Third Proportional to 349,246.69 and 767,075.06

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Solution

The third proportional to 349,246.69 and 767,075.06 is: 1,684,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,246.69 : 767,075.06 = 767,075.06 : x
  2. Step 2: Convert to fraction form
    349,246.69/767,075.06 = 767,075.06/x
  3. Step 3: Cross multiply
    349,246.69x = 767,075.06 × 767,075.06
  4. Step 4: Simplify right side
    349,246.69x = 588,404,151,509.38
  5. Step 5: Solve for x
    x = 588,404,151,509.38/349,246.69
  6. Step 6: Final answer
    x = 1,684,780.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.