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Finding the Third Proportional to 565,066.13 and 805,567.78

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Solution

The third proportional to 565,066.13 and 805,567.78 is: 1,148,430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,066.13 : 805,567.78 = 805,567.78 : x
  2. Step 2: Convert to fraction form
    565,066.13/805,567.78 = 805,567.78/x
  3. Step 3: Cross multiply
    565,066.13x = 805,567.78 × 805,567.78
  4. Step 4: Simplify right side
    565,066.13x = 648,939,450,188.05
  5. Step 5: Solve for x
    x = 648,939,450,188.05/565,066.13
  6. Step 6: Final answer
    x = 1,148,430.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.