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Finding the Third Proportional to 245,735 and 537,640

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Solution

The third proportional to 245,735 and 537,640 is: 1,176,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,735 : 537,640 = 537,640 : x
  2. Step 2: Convert to fraction form
    245,735/537,640 = 537,640/x
  3. Step 3: Cross multiply
    245,735x = 537,640 × 537,640
  4. Step 4: Simplify right side
    245,735x = 289,056,769,600
  5. Step 5: Solve for x
    x = 289,056,769,600/245,735
  6. Step 6: Final answer
    x = 1,176,294.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.