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Finding the Third Proportional to 350,480 and 549,072

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Solution

The third proportional to 350,480 and 549,072 is: 860,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,480 : 549,072 = 549,072 : x
  2. Step 2: Convert to fraction form
    350,480/549,072 = 549,072/x
  3. Step 3: Cross multiply
    350,480x = 549,072 × 549,072
  4. Step 4: Simplify right side
    350,480x = 301,480,061,184
  5. Step 5: Solve for x
    x = 301,480,061,184/350,480
  6. Step 6: Final answer
    x = 860,191.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.