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Finding the Third Proportional to 528,605 and 805,299.50

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Solution

The third proportional to 528,605 and 805,299.50 is: 1,226,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,605 : 805,299.50 = 805,299.50 : x
  2. Step 2: Convert to fraction form
    528,605/805,299.50 = 805,299.50/x
  3. Step 3: Cross multiply
    528,605x = 805,299.50 × 805,299.50
  4. Step 4: Simplify right side
    528,605x = 648,507,284,700.25
  5. Step 5: Solve for x
    x = 648,507,284,700.25/528,605
  6. Step 6: Final answer
    x = 1,226,827.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.