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Finding the Third Proportional to 287,605.50 and 619,362

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Solution

The third proportional to 287,605.50 and 619,362 is: 1,333,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,605.50 : 619,362 = 619,362 : x
  2. Step 2: Convert to fraction form
    287,605.50/619,362 = 619,362/x
  3. Step 3: Cross multiply
    287,605.50x = 619,362 × 619,362
  4. Step 4: Simplify right side
    287,605.50x = 383,609,287,044
  5. Step 5: Solve for x
    x = 383,609,287,044/287,605.50
  6. Step 6: Final answer
    x = 1,333,803.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.