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Finding the Third Proportional to 487,184.63 and 701,776.41

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Solution

The third proportional to 487,184.63 and 701,776.41 is: 1,010,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,184.63 : 701,776.41 = 701,776.41 : x
  2. Step 2: Convert to fraction form
    487,184.63/701,776.41 = 701,776.41/x
  3. Step 3: Cross multiply
    487,184.63x = 701,776.41 × 701,776.41
  4. Step 4: Simplify right side
    487,184.63x = 492,490,124,369.17
  5. Step 5: Solve for x
    x = 492,490,124,369.17/487,184.63
  6. Step 6: Final answer
    x = 1,010,890.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.