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Finding the Third Proportional to 345,246 and 549,588

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Solution

The third proportional to 345,246 and 549,588 is: 874,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,246 : 549,588 = 549,588 : x
  2. Step 2: Convert to fraction form
    345,246/549,588 = 549,588/x
  3. Step 3: Cross multiply
    345,246x = 549,588 × 549,588
  4. Step 4: Simplify right side
    345,246x = 302,046,969,744
  5. Step 5: Solve for x
    x = 302,046,969,744/345,246
  6. Step 6: Final answer
    x = 874,874.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.