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Finding the Third Proportional to 508,572 and 768,016.50

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Solution

The third proportional to 508,572 and 768,016.50 is: 1,159,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,572 : 768,016.50 = 768,016.50 : x
  2. Step 2: Convert to fraction form
    508,572/768,016.50 = 768,016.50/x
  3. Step 3: Cross multiply
    508,572x = 768,016.50 × 768,016.50
  4. Step 4: Simplify right side
    508,572x = 589,849,344,272.25
  5. Step 5: Solve for x
    x = 589,849,344,272.25/508,572
  6. Step 6: Final answer
    x = 1,159,814.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.