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Finding the Third Proportional to 359,380,235 and 537,633,735

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Solution

The third proportional to 359,380,235 and 537,633,735 is: 804,301,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,380,235 : 537,633,735 = 537,633,735 : x
  2. Step 2: Convert to fraction form
    359,380,235/537,633,735 = 537,633,735/x
  3. Step 3: Cross multiply
    359,380,235x = 537,633,735 × 537,633,735
  4. Step 4: Simplify right side
    359,380,235x = 289,050,033,010,050,240
  5. Step 5: Solve for x
    x = 289,050,033,010,050,240/359,380,235
  6. Step 6: Final answer
    x = 804,301,419.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.