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Finding the Third Proportional to 640,251 and 958,702.50

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Solution

The third proportional to 640,251 and 958,702.50 is: 1,435,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,251 : 958,702.50 = 958,702.50 : x
  2. Step 2: Convert to fraction form
    640,251/958,702.50 = 958,702.50/x
  3. Step 3: Cross multiply
    640,251x = 958,702.50 × 958,702.50
  4. Step 4: Simplify right side
    640,251x = 919,110,483,506.25
  5. Step 5: Solve for x
    x = 919,110,483,506.25/640,251
  6. Step 6: Final answer
    x = 1,435,547.13

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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.