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Finding the Third Proportional to 292,688 and 437,784

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Solution

The third proportional to 292,688 and 437,784 is: 654,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,688 : 437,784 = 437,784 : x
  2. Step 2: Convert to fraction form
    292,688/437,784 = 437,784/x
  3. Step 3: Cross multiply
    292,688x = 437,784 × 437,784
  4. Step 4: Simplify right side
    292,688x = 191,654,830,656
  5. Step 5: Solve for x
    x = 191,654,830,656/292,688
  6. Step 6: Final answer
    x = 654,809.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.