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Finding the Third Proportional to 616,962 and 920,352

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Solution

The third proportional to 616,962 and 920,352 is: 1,372,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,962 : 920,352 = 920,352 : x
  2. Step 2: Convert to fraction form
    616,962/920,352 = 920,352/x
  3. Step 3: Cross multiply
    616,962x = 920,352 × 920,352
  4. Step 4: Simplify right side
    616,962x = 847,047,803,904
  5. Step 5: Solve for x
    x = 847,047,803,904/616,962
  6. Step 6: Final answer
    x = 1,372,933.51

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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.