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Finding the Third Proportional to 469,597.50 and 708,753

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Solution

The third proportional to 469,597.50 and 708,753 is: 1,069,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,597.50 : 708,753 = 708,753 : x
  2. Step 2: Convert to fraction form
    469,597.50/708,753 = 708,753/x
  3. Step 3: Cross multiply
    469,597.50x = 708,753 × 708,753
  4. Step 4: Simplify right side
    469,597.50x = 502,330,815,009
  5. Step 5: Solve for x
    x = 502,330,815,009/469,597.50
  6. Step 6: Final answer
    x = 1,069,705.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.