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Finding the Third Proportional to 282,762.50 and 609,818.50

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Solution

The third proportional to 282,762.50 and 609,818.50 is: 1,315,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,762.50 : 609,818.50 = 609,818.50 : x
  2. Step 2: Convert to fraction form
    282,762.50/609,818.50 = 609,818.50/x
  3. Step 3: Cross multiply
    282,762.50x = 609,818.50 × 609,818.50
  4. Step 4: Simplify right side
    282,762.50x = 371,878,602,942.25
  5. Step 5: Solve for x
    x = 371,878,602,942.25/282,762.50
  6. Step 6: Final answer
    x = 1,315,162.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.