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Finding the Third Proportional to 592,153.50 and 899,308.50

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Solution

The third proportional to 592,153.50 and 899,308.50 is: 1,365,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,153.50 : 899,308.50 = 899,308.50 : x
  2. Step 2: Convert to fraction form
    592,153.50/899,308.50 = 899,308.50/x
  3. Step 3: Cross multiply
    592,153.50x = 899,308.50 × 899,308.50
  4. Step 4: Simplify right side
    592,153.50x = 808,755,778,172.25
  5. Step 5: Solve for x
    x = 808,755,778,172.25/592,153.50
  6. Step 6: Final answer
    x = 1,365,787.38

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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.