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Finding the Third Proportional to 364,465.50 and 788,835

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Solution

The third proportional to 364,465.50 and 788,835 is: 1,707,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,465.50 : 788,835 = 788,835 : x
  2. Step 2: Convert to fraction form
    364,465.50/788,835 = 788,835/x
  3. Step 3: Cross multiply
    364,465.50x = 788,835 × 788,835
  4. Step 4: Simplify right side
    364,465.50x = 622,260,657,225
  5. Step 5: Solve for x
    x = 622,260,657,225/364,465.50
  6. Step 6: Final answer
    x = 1,707,323.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.