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Finding the Third Proportional to 314,501 and 679,057

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Solution

The third proportional to 314,501 and 679,057 is: 1,466,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,501 : 679,057 = 679,057 : x
  2. Step 2: Convert to fraction form
    314,501/679,057 = 679,057/x
  3. Step 3: Cross multiply
    314,501x = 679,057 × 679,057
  4. Step 4: Simplify right side
    314,501x = 461,118,409,249
  5. Step 5: Solve for x
    x = 461,118,409,249/314,501
  6. Step 6: Final answer
    x = 1,466,190.60

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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.