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Finding the Third Proportional to 592,709.06 and 846,968.63

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Solution

The third proportional to 592,709.06 and 846,968.63 is: 1,210,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,709.06 : 846,968.63 = 846,968.63 : x
  2. Step 2: Convert to fraction form
    592,709.06/846,968.63 = 846,968.63/x
  3. Step 3: Cross multiply
    592,709.06x = 846,968.63 × 846,968.63
  4. Step 4: Simplify right side
    592,709.06x = 717,355,851,734.39
  5. Step 5: Solve for x
    x = 717,355,851,734.39/592,709.06
  6. Step 6: Final answer
    x = 1,210,300.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.