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Finding the Third Proportional to 223,974 and 487,312.50

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Solution

The third proportional to 223,974 and 487,312.50 is: 1,060,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,974 : 487,312.50 = 487,312.50 : x
  2. Step 2: Convert to fraction form
    223,974/487,312.50 = 487,312.50/x
  3. Step 3: Cross multiply
    223,974x = 487,312.50 × 487,312.50
  4. Step 4: Simplify right side
    223,974x = 237,473,472,656.25
  5. Step 5: Solve for x
    x = 237,473,472,656.25/223,974
  6. Step 6: Final answer
    x = 1,060,272.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.