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Finding the Third Proportional to 310,323 and 474,507

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Solution

The third proportional to 310,323 and 474,507 is: 725,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,323 : 474,507 = 474,507 : x
  2. Step 2: Convert to fraction form
    310,323/474,507 = 474,507/x
  3. Step 3: Cross multiply
    310,323x = 474,507 × 474,507
  4. Step 4: Simplify right side
    310,323x = 225,156,893,049
  5. Step 5: Solve for x
    x = 225,156,893,049/310,323
  6. Step 6: Final answer
    x = 725,556.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.