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Finding the Third Proportional to 537,117.75 and 726,890.63

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Solution

The third proportional to 537,117.75 and 726,890.63 is: 983,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,117.75 : 726,890.63 = 726,890.63 : x
  2. Step 2: Convert to fraction form
    537,117.75/726,890.63 = 726,890.63/x
  3. Step 3: Cross multiply
    537,117.75x = 726,890.63 × 726,890.63
  4. Step 4: Simplify right side
    537,117.75x = 528,369,980,712.89
  5. Step 5: Solve for x
    x = 528,369,980,712.89/537,117.75
  6. Step 6: Final answer
    x = 983,713.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.