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Finding the Third Proportional to 471,176 and 700,364

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Solution

The third proportional to 471,176 and 700,364 is: 1,041,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,176 : 700,364 = 700,364 : x
  2. Step 2: Convert to fraction form
    471,176/700,364 = 700,364/x
  3. Step 3: Cross multiply
    471,176x = 700,364 × 700,364
  4. Step 4: Simplify right side
    471,176x = 490,509,732,496
  5. Step 5: Solve for x
    x = 490,509,732,496/471,176
  6. Step 6: Final answer
    x = 1,041,032.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.