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Finding the Third Proportional to 359,403,024 and 513,595,248

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Solution

The third proportional to 359,403,024 and 513,595,248 is: 733,939,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,403,024 : 513,595,248 = 513,595,248 : x
  2. Step 2: Convert to fraction form
    359,403,024/513,595,248 = 513,595,248/x
  3. Step 3: Cross multiply
    359,403,024x = 513,595,248 × 513,595,248
  4. Step 4: Simplify right side
    359,403,024x = 263,780,078,768,181,504
  5. Step 5: Solve for x
    x = 263,780,078,768,181,504/359,403,024
  6. Step 6: Final answer
    x = 733,939,508.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.