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Finding the Third Proportional to 506,222.16 and 784,859.63

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Solution

The third proportional to 506,222.16 and 784,859.63 is: 1,216,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,222.16 : 784,859.63 = 784,859.63 : x
  2. Step 2: Convert to fraction form
    506,222.16/784,859.63 = 784,859.63/x
  3. Step 3: Cross multiply
    506,222.16x = 784,859.63 × 784,859.63
  4. Step 4: Simplify right side
    506,222.16x = 616,004,630,955.14
  5. Step 5: Solve for x
    x = 616,004,630,955.14/506,222.16
  6. Step 6: Final answer
    x = 1,216,866.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.