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Finding the Third Proportional to 484,409 and 756,047

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Solution

The third proportional to 484,409 and 756,047 is: 1,180,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,409 : 756,047 = 756,047 : x
  2. Step 2: Convert to fraction form
    484,409/756,047 = 756,047/x
  3. Step 3: Cross multiply
    484,409x = 756,047 × 756,047
  4. Step 4: Simplify right side
    484,409x = 571,607,066,209
  5. Step 5: Solve for x
    x = 571,607,066,209/484,409
  6. Step 6: Final answer
    x = 1,180,009.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.