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Finding the Third Proportional to 234,513,832 and 507,630,324

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Solution

The third proportional to 234,513,832 and 507,630,324 is: 1,098,820,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,513,832 : 507,630,324 = 507,630,324 : x
  2. Step 2: Convert to fraction form
    234,513,832/507,630,324 = 507,630,324/x
  3. Step 3: Cross multiply
    234,513,832x = 507,630,324 × 507,630,324
  4. Step 4: Simplify right side
    234,513,832x = 257,688,545,844,344,960
  5. Step 5: Solve for x
    x = 257,688,545,844,344,960/234,513,832
  6. Step 6: Final answer
    x = 1,098,820,242.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.