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Finding the Third Proportional to 507,798.70 and 788,813.44

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Solution

The third proportional to 507,798.70 and 788,813.44 is: 1,225,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,798.70 : 788,813.44 = 788,813.44 : x
  2. Step 2: Convert to fraction form
    507,798.70/788,813.44 = 788,813.44/x
  3. Step 3: Cross multiply
    507,798.70x = 788,813.44 × 788,813.44
  4. Step 4: Simplify right side
    507,798.70x = 622,226,639,180.57
  5. Step 5: Solve for x
    x = 622,226,639,180.57/507,798.70
  6. Step 6: Final answer
    x = 1,225,341.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.