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Finding the Third Proportional to 310,907 and 671,440

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Solution

The third proportional to 310,907 and 671,440 is: 1,450,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,907 : 671,440 = 671,440 : x
  2. Step 2: Convert to fraction form
    310,907/671,440 = 671,440/x
  3. Step 3: Cross multiply
    310,907x = 671,440 × 671,440
  4. Step 4: Simplify right side
    310,907x = 450,831,673,600
  5. Step 5: Solve for x
    x = 450,831,673,600/310,907
  6. Step 6: Final answer
    x = 1,450,053.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.