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Finding the Third Proportional to 468,270 and 700,527

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Solution

The third proportional to 468,270 and 700,527 is: 1,047,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,270 : 700,527 = 700,527 : x
  2. Step 2: Convert to fraction form
    468,270/700,527 = 700,527/x
  3. Step 3: Cross multiply
    468,270x = 700,527 × 700,527
  4. Step 4: Simplify right side
    468,270x = 490,738,077,729
  5. Step 5: Solve for x
    x = 490,738,077,729/468,270
  6. Step 6: Final answer
    x = 1,047,981.03

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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.