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Finding the Third Proportional to 302,924 and 470,369

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Solution

The third proportional to 302,924 and 470,369 is: 730,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,924 : 470,369 = 470,369 : x
  2. Step 2: Convert to fraction form
    302,924/470,369 = 470,369/x
  3. Step 3: Cross multiply
    302,924x = 470,369 × 470,369
  4. Step 4: Simplify right side
    302,924x = 221,246,996,161
  5. Step 5: Solve for x
    x = 221,246,996,161/302,924
  6. Step 6: Final answer
    x = 730,371.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.