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Finding the Third Proportional to 359,437.94 and 769,368.02

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Solution

The third proportional to 359,437.94 and 769,368.02 is: 1,646,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,437.94 : 769,368.02 = 769,368.02 : x
  2. Step 2: Convert to fraction form
    359,437.94/769,368.02 = 769,368.02/x
  3. Step 3: Cross multiply
    359,437.94x = 769,368.02 × 769,368.02
  4. Step 4: Simplify right side
    359,437.94x = 591,927,148,726.07
  5. Step 5: Solve for x
    x = 591,927,148,726.07/359,437.94
  6. Step 6: Final answer
    x = 1,646,813.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.