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Finding the Third Proportional to 716,696 and 1,036,011.50

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Solution

The third proportional to 716,696 and 1,036,011.50 is: 1,497,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,696 : 1,036,011.50 = 1,036,011.50 : x
  2. Step 2: Convert to fraction form
    716,696/1,036,011.50 = 1,036,011.50/x
  3. Step 3: Cross multiply
    716,696x = 1,036,011.50 × 1,036,011.50
  4. Step 4: Simplify right side
    716,696x = 1,073,319,828,132.25
  5. Step 5: Solve for x
    x = 1,073,319,828,132.25/716,696
  6. Step 6: Final answer
    x = 1,497,594.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.