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Finding the Third Proportional to 832,462.50 and 1,316,946

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Solution

The third proportional to 832,462.50 and 1,316,946 is: 2,083,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,462.50 : 1,316,946 = 1,316,946 : x
  2. Step 2: Convert to fraction form
    832,462.50/1,316,946 = 1,316,946/x
  3. Step 3: Cross multiply
    832,462.50x = 1,316,946 × 1,316,946
  4. Step 4: Simplify right side
    832,462.50x = 1,734,346,766,916
  5. Step 5: Solve for x
    x = 1,734,346,766,916/832,462.50
  6. Step 6: Final answer
    x = 2,083,393.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.