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Finding the Third Proportional to 356,448,316 and 567,179,358

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Solution

The third proportional to 356,448,316 and 567,179,358 is: 902,493,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,448,316 : 567,179,358 = 567,179,358 : x
  2. Step 2: Convert to fraction form
    356,448,316/567,179,358 = 567,179,358/x
  3. Step 3: Cross multiply
    356,448,316x = 567,179,358 × 567,179,358
  4. Step 4: Simplify right side
    356,448,316x = 321,692,424,141,292,160
  5. Step 5: Solve for x
    x = 321,692,424,141,292,160/356,448,316
  6. Step 6: Final answer
    x = 902,493,881.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.