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Finding the Third Proportional to 430,582.50 and 616,342.50

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Solution

The third proportional to 430,582.50 and 616,342.50 is: 882,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,582.50 : 616,342.50 = 616,342.50 : x
  2. Step 2: Convert to fraction form
    430,582.50/616,342.50 = 616,342.50/x
  3. Step 3: Cross multiply
    430,582.50x = 616,342.50 × 616,342.50
  4. Step 4: Simplify right side
    430,582.50x = 379,878,077,306.25
  5. Step 5: Solve for x
    x = 379,878,077,306.25/430,582.50
  6. Step 6: Final answer
    x = 882,242.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.