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Finding the Third Proportional to 528,574.50 and 805,254.75

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Solution

The third proportional to 528,574.50 and 805,254.75 is: 1,226,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,574.50 : 805,254.75 = 805,254.75 : x
  2. Step 2: Convert to fraction form
    528,574.50/805,254.75 = 805,254.75/x
  3. Step 3: Cross multiply
    528,574.50x = 805,254.75 × 805,254.75
  4. Step 4: Simplify right side
    528,574.50x = 648,435,212,397.56
  5. Step 5: Solve for x
    x = 648,435,212,397.56/528,574.50
  6. Step 6: Final answer
    x = 1,226,762.19

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Why These Related Problems?

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