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Finding the Third Proportional to 537,116 and 726,888

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Solution

The third proportional to 537,116 and 726,888 is: 983,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,116 : 726,888 = 726,888 : x
  2. Step 2: Convert to fraction form
    537,116/726,888 = 726,888/x
  3. Step 3: Cross multiply
    537,116x = 726,888 × 726,888
  4. Step 4: Simplify right side
    537,116x = 528,366,164,544
  5. Step 5: Solve for x
    x = 528,366,164,544/537,116
  6. Step 6: Final answer
    x = 983,709.60

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Why These Related Problems?

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