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Finding the Third Proportional to 464,176.50 and 626,280

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Solution

The third proportional to 464,176.50 and 626,280 is: 844,994.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,176.50 : 626,280 = 626,280 : x
  2. Step 2: Convert to fraction form
    464,176.50/626,280 = 626,280/x
  3. Step 3: Cross multiply
    464,176.50x = 626,280 × 626,280
  4. Step 4: Simplify right side
    464,176.50x = 392,226,638,400
  5. Step 5: Solve for x
    x = 392,226,638,400/464,176.50
  6. Step 6: Final answer
    x = 844,994.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.