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Finding the Third Proportional to 519,352 and 776,953

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Solution

The third proportional to 519,352 and 776,953 is: 1,162,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,352 : 776,953 = 776,953 : x
  2. Step 2: Convert to fraction form
    519,352/776,953 = 776,953/x
  3. Step 3: Cross multiply
    519,352x = 776,953 × 776,953
  4. Step 4: Simplify right side
    519,352x = 603,655,964,209
  5. Step 5: Solve for x
    x = 603,655,964,209/519,352
  6. Step 6: Final answer
    x = 1,162,325.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.