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Finding the Third Proportional to 310,047 and 465,066

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Solution

The third proportional to 310,047 and 465,066 is: 697,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,047 : 465,066 = 465,066 : x
  2. Step 2: Convert to fraction form
    310,047/465,066 = 465,066/x
  3. Step 3: Cross multiply
    310,047x = 465,066 × 465,066
  4. Step 4: Simplify right side
    310,047x = 216,286,384,356
  5. Step 5: Solve for x
    x = 216,286,384,356/310,047
  6. Step 6: Final answer
    x = 697,592.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.