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Finding the Third Proportional to 333,580 and 491,547

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Solution

The third proportional to 333,580 and 491,547 is: 724,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,580 : 491,547 = 491,547 : x
  2. Step 2: Convert to fraction form
    333,580/491,547 = 491,547/x
  3. Step 3: Cross multiply
    333,580x = 491,547 × 491,547
  4. Step 4: Simplify right side
    333,580x = 241,618,453,209
  5. Step 5: Solve for x
    x = 241,618,453,209/333,580
  6. Step 6: Final answer
    x = 724,319.36

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Why These Related Problems?

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