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Finding the Third Proportional to 310,294 and 474,465

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Solution

The third proportional to 310,294 and 474,465 is: 725,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,294 : 474,465 = 474,465 : x
  2. Step 2: Convert to fraction form
    310,294/474,465 = 474,465/x
  3. Step 3: Cross multiply
    310,294x = 474,465 × 474,465
  4. Step 4: Simplify right side
    310,294x = 225,117,036,225
  5. Step 5: Solve for x
    x = 225,117,036,225/310,294
  6. Step 6: Final answer
    x = 725,495.94

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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.