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Finding the Third Proportional to 489,849 and 742,156.50

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Solution

The third proportional to 489,849 and 742,156.50 is: 1,124,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,849 : 742,156.50 = 742,156.50 : x
  2. Step 2: Convert to fraction form
    489,849/742,156.50 = 742,156.50/x
  3. Step 3: Cross multiply
    489,849x = 742,156.50 × 742,156.50
  4. Step 4: Simplify right side
    489,849x = 550,796,270,492.25
  5. Step 5: Solve for x
    x = 550,796,270,492.25/489,849
  6. Step 6: Final answer
    x = 1,124,420.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.