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Finding the Third Proportional to 687,176.50 and 1,048,534

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Solution

The third proportional to 687,176.50 and 1,048,534 is: 1,599,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,176.50 : 1,048,534 = 1,048,534 : x
  2. Step 2: Convert to fraction form
    687,176.50/1,048,534 = 1,048,534/x
  3. Step 3: Cross multiply
    687,176.50x = 1,048,534 × 1,048,534
  4. Step 4: Simplify right side
    687,176.50x = 1,099,423,549,156
  5. Step 5: Solve for x
    x = 1,099,423,549,156/687,176.50
  6. Step 6: Final answer
    x = 1,599,914.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.