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Finding the Third Proportional to 535,088.63 and 783,435.75

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Solution

The third proportional to 535,088.63 and 783,435.75 is: 1,147,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,088.63 : 783,435.75 = 783,435.75 : x
  2. Step 2: Convert to fraction form
    535,088.63/783,435.75 = 783,435.75/x
  3. Step 3: Cross multiply
    535,088.63x = 783,435.75 × 783,435.75
  4. Step 4: Simplify right side
    535,088.63x = 613,771,574,378.06
  5. Step 5: Solve for x
    x = 613,771,574,378.06/535,088.63
  6. Step 6: Final answer
    x = 1,147,046.57

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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.