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Finding the Third Proportional to 813,928.50 and 1,196,532

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Solution

The third proportional to 813,928.50 and 1,196,532 is: 1,758,985.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,928.50 : 1,196,532 = 1,196,532 : x
  2. Step 2: Convert to fraction form
    813,928.50/1,196,532 = 1,196,532/x
  3. Step 3: Cross multiply
    813,928.50x = 1,196,532 × 1,196,532
  4. Step 4: Simplify right side
    813,928.50x = 1,431,688,827,024
  5. Step 5: Solve for x
    x = 1,431,688,827,024/813,928.50
  6. Step 6: Final answer
    x = 1,758,985.99

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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.