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Finding the Third Proportional to 249,981.19 and 589,747.08

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Solution

The third proportional to 249,981.19 and 589,747.08 is: 1,391,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,981.19 : 589,747.08 = 589,747.08 : x
  2. Step 2: Convert to fraction form
    249,981.19/589,747.08 = 589,747.08/x
  3. Step 3: Cross multiply
    249,981.19x = 589,747.08 × 589,747.08
  4. Step 4: Simplify right side
    249,981.19x = 347,801,616,156.98
  5. Step 5: Solve for x
    x = 347,801,616,156.98/249,981.19
  6. Step 6: Final answer
    x = 1,391,311.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.