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Finding the Third Proportional to 359,400,748 and 525,622,716

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Solution

The third proportional to 359,400,748 and 525,622,716 is: 768,721,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,400,748 : 525,622,716 = 525,622,716 : x
  2. Step 2: Convert to fraction form
    359,400,748/525,622,716 = 525,622,716/x
  3. Step 3: Cross multiply
    359,400,748x = 525,622,716 × 525,622,716
  4. Step 4: Simplify right side
    359,400,748x = 276,279,239,575,216,640
  5. Step 5: Solve for x
    x = 276,279,239,575,216,640/359,400,748
  6. Step 6: Final answer
    x = 768,721,938.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.