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Finding the Third Proportional to 640,253 and 964,602

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Solution

The third proportional to 640,253 and 964,602 is: 1,453,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,253 : 964,602 = 964,602 : x
  2. Step 2: Convert to fraction form
    640,253/964,602 = 964,602/x
  3. Step 3: Cross multiply
    640,253x = 964,602 × 964,602
  4. Step 4: Simplify right side
    640,253x = 930,457,018,404
  5. Step 5: Solve for x
    x = 930,457,018,404/640,253
  6. Step 6: Final answer
    x = 1,453,264.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.