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Finding the Third Proportional to 349,323,628 and 524,241,186

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Solution

The third proportional to 349,323,628 and 524,241,186 is: 786,745,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,323,628 : 524,241,186 = 524,241,186 : x
  2. Step 2: Convert to fraction form
    349,323,628/524,241,186 = 524,241,186/x
  3. Step 3: Cross multiply
    349,323,628x = 524,241,186 × 524,241,186
  4. Step 4: Simplify right side
    349,323,628x = 274,828,821,098,686,592
  5. Step 5: Solve for x
    x = 274,828,821,098,686,592/349,323,628
  6. Step 6: Final answer
    x = 786,745,582.23

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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.