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Finding the Third Proportional to 256,450,509 and 604,781,532

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Solution

The third proportional to 256,450,509 and 604,781,532 is: 1,426,242,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,450,509 : 604,781,532 = 604,781,532 : x
  2. Step 2: Convert to fraction form
    256,450,509/604,781,532 = 604,781,532/x
  3. Step 3: Cross multiply
    256,450,509x = 604,781,532 × 604,781,532
  4. Step 4: Simplify right side
    256,450,509x = 365,760,701,448,267,008
  5. Step 5: Solve for x
    x = 365,760,701,448,267,008/256,450,509
  6. Step 6: Final answer
    x = 1,426,242,836.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.