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Finding the Third Proportional to 384,638.63 and 549,210.38

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Solution

The third proportional to 384,638.63 and 549,210.38 is: 784,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,638.63 : 549,210.38 = 549,210.38 : x
  2. Step 2: Convert to fraction form
    384,638.63/549,210.38 = 549,210.38/x
  3. Step 3: Cross multiply
    384,638.63x = 549,210.38 × 549,210.38
  4. Step 4: Simplify right side
    384,638.63x = 301,632,036,007.64
  5. Step 5: Solve for x
    x = 301,632,036,007.64/384,638.63
  6. Step 6: Final answer
    x = 784,195.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.