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Finding the Third Proportional to 256,654,548 and 554,217,984

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Solution

The third proportional to 256,654,548 and 554,217,984 is: 1,196,774,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,654,548 : 554,217,984 = 554,217,984 : x
  2. Step 2: Convert to fraction form
    256,654,548/554,217,984 = 554,217,984/x
  3. Step 3: Cross multiply
    256,654,548x = 554,217,984 × 554,217,984
  4. Step 4: Simplify right side
    256,654,548x = 307,157,573,789,024,256
  5. Step 5: Solve for x
    x = 307,157,573,789,024,256/256,654,548
  6. Step 6: Final answer
    x = 1,196,774,326.36

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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.