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Finding the Third Proportional to 623,593 and 971,893.50

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Solution

The third proportional to 623,593 and 971,893.50 is: 1,514,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,593 : 971,893.50 = 971,893.50 : x
  2. Step 2: Convert to fraction form
    623,593/971,893.50 = 971,893.50/x
  3. Step 3: Cross multiply
    623,593x = 971,893.50 × 971,893.50
  4. Step 4: Simplify right side
    623,593x = 944,576,975,342.25
  5. Step 5: Solve for x
    x = 944,576,975,342.25/623,593
  6. Step 6: Final answer
    x = 1,514,733.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.