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Finding the Third Proportional to 287,358 and 624,456

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Solution

The third proportional to 287,358 and 624,456 is: 1,357,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,358 : 624,456 = 624,456 : x
  2. Step 2: Convert to fraction form
    287,358/624,456 = 624,456/x
  3. Step 3: Cross multiply
    287,358x = 624,456 × 624,456
  4. Step 4: Simplify right side
    287,358x = 389,945,295,936
  5. Step 5: Solve for x
    x = 389,945,295,936/287,358
  6. Step 6: Final answer
    x = 1,357,001.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.