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Finding the Third Proportional to 406,970 and 598,274

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Solution

The third proportional to 406,970 and 598,274 is: 879,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,970 : 598,274 = 598,274 : x
  2. Step 2: Convert to fraction form
    406,970/598,274 = 598,274/x
  3. Step 3: Cross multiply
    406,970x = 598,274 × 598,274
  4. Step 4: Simplify right side
    406,970x = 357,931,779,076
  5. Step 5: Solve for x
    x = 357,931,779,076/406,970
  6. Step 6: Final answer
    x = 879,504.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.