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Finding the Third Proportional to 507,354 and 802,773

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Solution

The third proportional to 507,354 and 802,773 is: 1,270,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,354 : 802,773 = 802,773 : x
  2. Step 2: Convert to fraction form
    507,354/802,773 = 802,773/x
  3. Step 3: Cross multiply
    507,354x = 802,773 × 802,773
  4. Step 4: Simplify right side
    507,354x = 644,444,489,529
  5. Step 5: Solve for x
    x = 644,444,489,529/507,354
  6. Step 6: Final answer
    x = 1,270,206.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.