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Finding the Third Proportional to 406,957.50 and 883,946.25

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Solution

The third proportional to 406,957.50 and 883,946.25 is: 1,920,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,957.50 : 883,946.25 = 883,946.25 : x
  2. Step 2: Convert to fraction form
    406,957.50/883,946.25 = 883,946.25/x
  3. Step 3: Cross multiply
    406,957.50x = 883,946.25 × 883,946.25
  4. Step 4: Simplify right side
    406,957.50x = 781,360,972,889.06
  5. Step 5: Solve for x
    x = 781,360,972,889.06/406,957.50
  6. Step 6: Final answer
    x = 1,920,006.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.