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Finding the Third Proportional to 557,445 and 823,045.50

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Solution

The third proportional to 557,445 and 823,045.50 is: 1,215,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,445 : 823,045.50 = 823,045.50 : x
  2. Step 2: Convert to fraction form
    557,445/823,045.50 = 823,045.50/x
  3. Step 3: Cross multiply
    557,445x = 823,045.50 × 823,045.50
  4. Step 4: Simplify right side
    557,445x = 677,403,895,070.25
  5. Step 5: Solve for x
    x = 677,403,895,070.25/557,445
  6. Step 6: Final answer
    x = 1,215,194.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.