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Finding the Third Proportional to 359,204,966 and 525,370,521

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Solution

The third proportional to 359,204,966 and 525,370,521 is: 768,403,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,204,966 : 525,370,521 = 525,370,521 : x
  2. Step 2: Convert to fraction form
    359,204,966/525,370,521 = 525,370,521/x
  3. Step 3: Cross multiply
    359,204,966x = 525,370,521 × 525,370,521
  4. Step 4: Simplify right side
    359,204,966x = 276,014,184,335,811,456
  5. Step 5: Solve for x
    x = 276,014,184,335,811,456/359,204,966
  6. Step 6: Final answer
    x = 768,403,030.20

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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.