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Finding the Third Proportional to 292,401 and 607,788

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Solution

The third proportional to 292,401 and 607,788 is: 1,263,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,401 : 607,788 = 607,788 : x
  2. Step 2: Convert to fraction form
    292,401/607,788 = 607,788/x
  3. Step 3: Cross multiply
    292,401x = 607,788 × 607,788
  4. Step 4: Simplify right side
    292,401x = 369,406,252,944
  5. Step 5: Solve for x
    x = 369,406,252,944/292,401
  6. Step 6: Final answer
    x = 1,263,354.96

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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.