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Finding the Third Proportional to 522,522 and 807,567.75

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Solution

The third proportional to 522,522 and 807,567.75 is: 1,248,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,522 : 807,567.75 = 807,567.75 : x
  2. Step 2: Convert to fraction form
    522,522/807,567.75 = 807,567.75/x
  3. Step 3: Cross multiply
    522,522x = 807,567.75 × 807,567.75
  4. Step 4: Simplify right side
    522,522x = 652,165,670,840.06
  5. Step 5: Solve for x
    x = 652,165,670,840.06/522,522
  6. Step 6: Final answer
    x = 1,248,111.41

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