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Finding the Third Proportional to 296,640 and 652,248

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Solution

The third proportional to 296,640 and 652,248 is: 1,434,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,640 : 652,248 = 652,248 : x
  2. Step 2: Convert to fraction form
    296,640/652,248 = 652,248/x
  3. Step 3: Cross multiply
    296,640x = 652,248 × 652,248
  4. Step 4: Simplify right side
    296,640x = 425,427,453,504
  5. Step 5: Solve for x
    x = 425,427,453,504/296,640
  6. Step 6: Final answer
    x = 1,434,154.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.