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Finding the Third Proportional to 549,929.63 and 805,206.75

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Solution

The third proportional to 549,929.63 and 805,206.75 is: 1,178,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,929.63 : 805,206.75 = 805,206.75 : x
  2. Step 2: Convert to fraction form
    549,929.63/805,206.75 = 805,206.75/x
  3. Step 3: Cross multiply
    549,929.63x = 805,206.75 × 805,206.75
  4. Step 4: Simplify right side
    549,929.63x = 648,357,910,245.56
  5. Step 5: Solve for x
    x = 648,357,910,245.56/549,929.63
  6. Step 6: Final answer
    x = 1,178,983.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.