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Finding the Third Proportional to 340,725 and 525,303

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Solution

The third proportional to 340,725 and 525,303 is: 809,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,725 : 525,303 = 525,303 : x
  2. Step 2: Convert to fraction form
    340,725/525,303 = 525,303/x
  3. Step 3: Cross multiply
    340,725x = 525,303 × 525,303
  4. Step 4: Simplify right side
    340,725x = 275,943,241,809
  5. Step 5: Solve for x
    x = 275,943,241,809/340,725
  6. Step 6: Final answer
    x = 809,870.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.