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Finding the Third Proportional to 292,585 and 436,963.50

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Solution

The third proportional to 292,585 and 436,963.50 is: 652,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,585 : 436,963.50 = 436,963.50 : x
  2. Step 2: Convert to fraction form
    292,585/436,963.50 = 436,963.50/x
  3. Step 3: Cross multiply
    292,585x = 436,963.50 × 436,963.50
  4. Step 4: Simplify right side
    292,585x = 190,937,100,332.25
  5. Step 5: Solve for x
    x = 190,937,100,332.25/292,585
  6. Step 6: Final answer
    x = 652,586.77

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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.