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Finding the Third Proportional to 584,851 and 883,648.50

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Solution

The third proportional to 584,851 and 883,648.50 is: 1,335,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,851 : 883,648.50 = 883,648.50 : x
  2. Step 2: Convert to fraction form
    584,851/883,648.50 = 883,648.50/x
  3. Step 3: Cross multiply
    584,851x = 883,648.50 × 883,648.50
  4. Step 4: Simplify right side
    584,851x = 780,834,671,552.25
  5. Step 5: Solve for x
    x = 780,834,671,552.25/584,851
  6. Step 6: Final answer
    x = 1,335,100.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.