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Finding the Third Proportional to 507,699 and 756,004.50

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Solution

The third proportional to 507,699 and 756,004.50 is: 1,125,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,699 : 756,004.50 = 756,004.50 : x
  2. Step 2: Convert to fraction form
    507,699/756,004.50 = 756,004.50/x
  3. Step 3: Cross multiply
    507,699x = 756,004.50 × 756,004.50
  4. Step 4: Simplify right side
    507,699x = 571,542,804,020.25
  5. Step 5: Solve for x
    x = 571,542,804,020.25/507,699
  6. Step 6: Final answer
    x = 1,125,751.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.