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Finding the Third Proportional to 264,602 and 571,646

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Solution

The third proportional to 264,602 and 571,646 is: 1,234,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,602 : 571,646 = 571,646 : x
  2. Step 2: Convert to fraction form
    264,602/571,646 = 571,646/x
  3. Step 3: Cross multiply
    264,602x = 571,646 × 571,646
  4. Step 4: Simplify right side
    264,602x = 326,779,149,316
  5. Step 5: Solve for x
    x = 326,779,149,316/264,602
  6. Step 6: Final answer
    x = 1,234,983.67

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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.