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Finding the Third Proportional to 520,306.88 and 1,054,967.63

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Solution

The third proportional to 520,306.88 and 1,054,967.63 is: 2,139,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,306.88 : 1,054,967.63 = 1,054,967.63 : x
  2. Step 2: Convert to fraction form
    520,306.88/1,054,967.63 = 1,054,967.63/x
  3. Step 3: Cross multiply
    520,306.88x = 1,054,967.63 × 1,054,967.63
  4. Step 4: Simplify right side
    520,306.88x = 1,112,956,689,798.14
  5. Step 5: Solve for x
    x = 1,112,956,689,798.14/520,306.88
  6. Step 6: Final answer
    x = 2,139,038.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.