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Finding the Third Proportional to 824,986.25 and 1,312,728.50

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Solution

The third proportional to 824,986.25 and 1,312,728.50 is: 2,088,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,986.25 : 1,312,728.50 = 1,312,728.50 : x
  2. Step 2: Convert to fraction form
    824,986.25/1,312,728.50 = 1,312,728.50/x
  3. Step 3: Cross multiply
    824,986.25x = 1,312,728.50 × 1,312,728.50
  4. Step 4: Simplify right side
    824,986.25x = 1,723,256,114,712.25
  5. Step 5: Solve for x
    x = 1,723,256,114,712.25/824,986.25
  6. Step 6: Final answer
    x = 2,088,830.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.