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Finding the Third Proportional to 377,346 and 560,889

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Solution

The third proportional to 377,346 and 560,889 is: 833,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,346 : 560,889 = 560,889 : x
  2. Step 2: Convert to fraction form
    377,346/560,889 = 560,889/x
  3. Step 3: Cross multiply
    377,346x = 560,889 × 560,889
  4. Step 4: Simplify right side
    377,346x = 314,596,470,321
  5. Step 5: Solve for x
    x = 314,596,470,321/377,346
  6. Step 6: Final answer
    x = 833,708.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.