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Finding the Third Proportional to 492,507 and 707,656.50

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Solution

The third proportional to 492,507 and 707,656.50 is: 1,016,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,507 : 707,656.50 = 707,656.50 : x
  2. Step 2: Convert to fraction form
    492,507/707,656.50 = 707,656.50/x
  3. Step 3: Cross multiply
    492,507x = 707,656.50 × 707,656.50
  4. Step 4: Simplify right side
    492,507x = 500,777,721,992.25
  5. Step 5: Solve for x
    x = 500,777,721,992.25/492,507
  6. Step 6: Final answer
    x = 1,016,793.11

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.