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Finding the Third Proportional to 343,075.78 and 533,297.67

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Solution

The third proportional to 343,075.78 and 533,297.67 is: 828,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,075.78 : 533,297.67 = 533,297.67 : x
  2. Step 2: Convert to fraction form
    343,075.78/533,297.67 = 533,297.67/x
  3. Step 3: Cross multiply
    343,075.78x = 533,297.67 × 533,297.67
  4. Step 4: Simplify right side
    343,075.78x = 284,406,406,827.30
  5. Step 5: Solve for x
    x = 284,406,406,827.30/343,075.78
  6. Step 6: Final answer
    x = 828,990.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.