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Finding the Third Proportional to 246,312 and 531,082

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Solution

The third proportional to 246,312 and 531,082 is: 1,145,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,312 : 531,082 = 531,082 : x
  2. Step 2: Convert to fraction form
    246,312/531,082 = 531,082/x
  3. Step 3: Cross multiply
    246,312x = 531,082 × 531,082
  4. Step 4: Simplify right side
    246,312x = 282,048,090,724
  5. Step 5: Solve for x
    x = 282,048,090,724/246,312
  6. Step 6: Final answer
    x = 1,145,084.65

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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.