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Finding the Third Proportional to 349,323,668 and 524,241,248

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Solution

The third proportional to 349,323,668 and 524,241,248 is: 786,745,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,323,668 : 524,241,248 = 524,241,248 : x
  2. Step 2: Convert to fraction form
    349,323,668/524,241,248 = 524,241,248/x
  3. Step 3: Cross multiply
    349,323,668x = 524,241,248 × 524,241,248
  4. Step 4: Simplify right side
    349,323,668x = 274,828,886,104,597,504
  5. Step 5: Solve for x
    x = 274,828,886,104,597,504/349,323,668
  6. Step 6: Final answer
    x = 786,745,678.24

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