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Finding the Third Proportional to 333,060 and 507,882

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Solution

The third proportional to 333,060 and 507,882 is: 774,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,060 : 507,882 = 507,882 : x
  2. Step 2: Convert to fraction form
    333,060/507,882 = 507,882/x
  3. Step 3: Cross multiply
    333,060x = 507,882 × 507,882
  4. Step 4: Simplify right side
    333,060x = 257,944,125,924
  5. Step 5: Solve for x
    x = 257,944,125,924/333,060
  6. Step 6: Final answer
    x = 774,467.44

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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.