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Finding the Third Proportional to 323,047.50 and 710,271

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Solution

The third proportional to 323,047.50 and 710,271 is: 1,561,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,047.50 : 710,271 = 710,271 : x
  2. Step 2: Convert to fraction form
    323,047.50/710,271 = 710,271/x
  3. Step 3: Cross multiply
    323,047.50x = 710,271 × 710,271
  4. Step 4: Simplify right side
    323,047.50x = 504,484,893,441
  5. Step 5: Solve for x
    x = 504,484,893,441/323,047.50
  6. Step 6: Final answer
    x = 1,561,643.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.