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Finding the Third Proportional to 508,699 and 787,316.25

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Solution

The third proportional to 508,699 and 787,316.25 is: 1,218,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,699 : 787,316.25 = 787,316.25 : x
  2. Step 2: Convert to fraction form
    508,699/787,316.25 = 787,316.25/x
  3. Step 3: Cross multiply
    508,699x = 787,316.25 × 787,316.25
  4. Step 4: Simplify right side
    508,699x = 619,866,877,514.06
  5. Step 5: Solve for x
    x = 619,866,877,514.06/508,699
  6. Step 6: Final answer
    x = 1,218,533.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.