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Finding the Third Proportional to 335,136 and 730,490

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Solution

The third proportional to 335,136 and 730,490 is: 1,592,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,136 : 730,490 = 730,490 : x
  2. Step 2: Convert to fraction form
    335,136/730,490 = 730,490/x
  3. Step 3: Cross multiply
    335,136x = 730,490 × 730,490
  4. Step 4: Simplify right side
    335,136x = 533,615,640,100
  5. Step 5: Solve for x
    x = 533,615,640,100/335,136
  6. Step 6: Final answer
    x = 1,592,236.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.