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Finding the Third Proportional to 528,823.50 and 771,086.25

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Solution

The third proportional to 528,823.50 and 771,086.25 is: 1,124,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,823.50 : 771,086.25 = 771,086.25 : x
  2. Step 2: Convert to fraction form
    528,823.50/771,086.25 = 771,086.25/x
  3. Step 3: Cross multiply
    528,823.50x = 771,086.25 × 771,086.25
  4. Step 4: Simplify right side
    528,823.50x = 594,574,004,939.06
  5. Step 5: Solve for x
    x = 594,574,004,939.06/528,823.50
  6. Step 6: Final answer
    x = 1,124,333.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.