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Finding the Third Proportional to 333,492 and 730,230

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Solution

The third proportional to 333,492 and 730,230 is: 1,598,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,492 : 730,230 = 730,230 : x
  2. Step 2: Convert to fraction form
    333,492/730,230 = 730,230/x
  3. Step 3: Cross multiply
    333,492x = 730,230 × 730,230
  4. Step 4: Simplify right side
    333,492x = 533,235,852,900
  5. Step 5: Solve for x
    x = 533,235,852,900/333,492
  6. Step 6: Final answer
    x = 1,598,946.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.