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Finding the Third Proportional to 297,968 and 651,639

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Solution

The third proportional to 297,968 and 651,639 is: 1,425,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,968 : 651,639 = 651,639 : x
  2. Step 2: Convert to fraction form
    297,968/651,639 = 651,639/x
  3. Step 3: Cross multiply
    297,968x = 651,639 × 651,639
  4. Step 4: Simplify right side
    297,968x = 424,633,386,321
  5. Step 5: Solve for x
    x = 424,633,386,321/297,968
  6. Step 6: Final answer
    x = 1,425,097.28

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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.