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Finding the Third Proportional to 726,148.50 and 1,065,894

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Solution

The third proportional to 726,148.50 and 1,065,894 is: 1,564,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,148.50 : 1,065,894 = 1,065,894 : x
  2. Step 2: Convert to fraction form
    726,148.50/1,065,894 = 1,065,894/x
  3. Step 3: Cross multiply
    726,148.50x = 1,065,894 × 1,065,894
  4. Step 4: Simplify right side
    726,148.50x = 1,136,130,019,236
  5. Step 5: Solve for x
    x = 1,136,130,019,236/726,148.50
  6. Step 6: Final answer
    x = 1,564,597.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.