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Finding the Third Proportional to 343,594 and 535,015

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Solution

The third proportional to 343,594 and 535,015 is: 833,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,594 : 535,015 = 535,015 : x
  2. Step 2: Convert to fraction form
    343,594/535,015 = 535,015/x
  3. Step 3: Cross multiply
    343,594x = 535,015 × 535,015
  4. Step 4: Simplify right side
    343,594x = 286,241,050,225
  5. Step 5: Solve for x
    x = 286,241,050,225/343,594
  6. Step 6: Final answer
    x = 833,079.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.