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Finding the Third Proportional to 243,339.94 and 524,117.06

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Solution

The third proportional to 243,339.94 and 524,117.06 is: 1,128,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,339.94 : 524,117.06 = 524,117.06 : x
  2. Step 2: Convert to fraction form
    243,339.94/524,117.06 = 524,117.06/x
  3. Step 3: Cross multiply
    243,339.94x = 524,117.06 × 524,117.06
  4. Step 4: Simplify right side
    243,339.94x = 274,698,695,203.63
  5. Step 5: Solve for x
    x = 274,698,695,203.63/243,339.94
  6. Step 6: Final answer
    x = 1,128,868.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.