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Finding the Third Proportional to 349,723 and 540,082

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Solution

The third proportional to 349,723 and 540,082 is: 834,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,723 : 540,082 = 540,082 : x
  2. Step 2: Convert to fraction form
    349,723/540,082 = 540,082/x
  3. Step 3: Cross multiply
    349,723x = 540,082 × 540,082
  4. Step 4: Simplify right side
    349,723x = 291,688,566,724
  5. Step 5: Solve for x
    x = 291,688,566,724/349,723
  6. Step 6: Final answer
    x = 834,056.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.