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Finding the Third Proportional to 308,442,264 and 411,210,468

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Solution

The third proportional to 308,442,264 and 411,210,468 is: 548,219,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,442,264 : 411,210,468 = 411,210,468 : x
  2. Step 2: Convert to fraction form
    308,442,264/411,210,468 = 411,210,468/x
  3. Step 3: Cross multiply
    308,442,264x = 411,210,468 × 411,210,468
  4. Step 4: Simplify right side
    308,442,264x = 169,094,048,992,779,008
  5. Step 5: Solve for x
    x = 169,094,048,992,779,008/308,442,264
  6. Step 6: Final answer
    x = 548,219,452.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.