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Finding the Third Proportional to 292,527 and 436,878

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Solution

The third proportional to 292,527 and 436,878 is: 652,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,527 : 436,878 = 436,878 : x
  2. Step 2: Convert to fraction form
    292,527/436,878 = 436,878/x
  3. Step 3: Cross multiply
    292,527x = 436,878 × 436,878
  4. Step 4: Simplify right side
    292,527x = 190,862,386,884
  5. Step 5: Solve for x
    x = 190,862,386,884/292,527
  6. Step 6: Final answer
    x = 652,460.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.