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Finding the Third Proportional to 295,655 and 455,066

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Solution

The third proportional to 295,655 and 455,066 is: 700,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,655 : 455,066 = 455,066 : x
  2. Step 2: Convert to fraction form
    295,655/455,066 = 455,066/x
  3. Step 3: Cross multiply
    295,655x = 455,066 × 455,066
  4. Step 4: Simplify right side
    295,655x = 207,085,064,356
  5. Step 5: Solve for x
    x = 207,085,064,356/295,655
  6. Step 6: Final answer
    x = 700,428.08

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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.