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Finding the Third Proportional to 292,394 and 607,771

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Solution

The third proportional to 292,394 and 607,771 is: 1,263,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,394 : 607,771 = 607,771 : x
  2. Step 2: Convert to fraction form
    292,394/607,771 = 607,771/x
  3. Step 3: Cross multiply
    292,394x = 607,771 × 607,771
  4. Step 4: Simplify right side
    292,394x = 369,385,588,441
  5. Step 5: Solve for x
    x = 369,385,588,441/292,394
  6. Step 6: Final answer
    x = 1,263,314.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.