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Finding the Third Proportional to 291,394 and 628,724

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Solution

The third proportional to 291,394 and 628,724 is: 1,356,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,394 : 628,724 = 628,724 : x
  2. Step 2: Convert to fraction form
    291,394/628,724 = 628,724/x
  3. Step 3: Cross multiply
    291,394x = 628,724 × 628,724
  4. Step 4: Simplify right side
    291,394x = 395,293,868,176
  5. Step 5: Solve for x
    x = 395,293,868,176/291,394
  6. Step 6: Final answer
    x = 1,356,561.45

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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.