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Finding the Third Proportional to 304,254 and 472,966.50

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Solution

The third proportional to 304,254 and 472,966.50 is: 735,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,254 : 472,966.50 = 472,966.50 : x
  2. Step 2: Convert to fraction form
    304,254/472,966.50 = 472,966.50/x
  3. Step 3: Cross multiply
    304,254x = 472,966.50 × 472,966.50
  4. Step 4: Simplify right side
    304,254x = 223,697,310,122.25
  5. Step 5: Solve for x
    x = 223,697,310,122.25/304,254
  6. Step 6: Final answer
    x = 735,232.11

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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.