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Finding the Third Proportional to 460,296 and 700,056

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Solution

The third proportional to 460,296 and 700,056 is: 1,064,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,296 : 700,056 = 700,056 : x
  2. Step 2: Convert to fraction form
    460,296/700,056 = 700,056/x
  3. Step 3: Cross multiply
    460,296x = 700,056 × 700,056
  4. Step 4: Simplify right side
    460,296x = 490,078,403,136
  5. Step 5: Solve for x
    x = 490,078,403,136/460,296
  6. Step 6: Final answer
    x = 1,064,702.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.