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Finding the Third Proportional to 310,047 and 474,237

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Solution

The third proportional to 310,047 and 474,237 is: 725,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,047 : 474,237 = 474,237 : x
  2. Step 2: Convert to fraction form
    310,047/474,237 = 474,237/x
  3. Step 3: Cross multiply
    310,047x = 474,237 × 474,237
  4. Step 4: Simplify right side
    310,047x = 224,900,732,169
  5. Step 5: Solve for x
    x = 224,900,732,169/310,047
  6. Step 6: Final answer
    x = 725,376.26

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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.