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Finding the Third Proportional to 304,292 and 473,023

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Solution

The third proportional to 304,292 and 473,023 is: 735,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,292 : 473,023 = 473,023 : x
  2. Step 2: Convert to fraction form
    304,292/473,023 = 473,023/x
  3. Step 3: Cross multiply
    304,292x = 473,023 × 473,023
  4. Step 4: Simplify right side
    304,292x = 223,750,758,529
  5. Step 5: Solve for x
    x = 223,750,758,529/304,292
  6. Step 6: Final answer
    x = 735,315.94

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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.