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Finding the Third Proportional to 295,636 and 456,575

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Solution

The third proportional to 295,636 and 456,575 is: 705,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,636 : 456,575 = 456,575 : x
  2. Step 2: Convert to fraction form
    295,636/456,575 = 456,575/x
  3. Step 3: Cross multiply
    295,636x = 456,575 × 456,575
  4. Step 4: Simplify right side
    295,636x = 208,460,730,625
  5. Step 5: Solve for x
    x = 208,460,730,625/295,636
  6. Step 6: Final answer
    x = 705,126.34

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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.