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Finding the Third Proportional to 292,653 and 427,801.50

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Solution

The third proportional to 292,653 and 427,801.50 is: 625,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,653 : 427,801.50 = 427,801.50 : x
  2. Step 2: Convert to fraction form
    292,653/427,801.50 = 427,801.50/x
  3. Step 3: Cross multiply
    292,653x = 427,801.50 × 427,801.50
  4. Step 4: Simplify right side
    292,653x = 183,014,123,402.25
  5. Step 5: Solve for x
    x = 183,014,123,402.25/292,653
  6. Step 6: Final answer
    x = 625,362.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.