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Finding the Third Proportional to 572,031.50 and 776,013

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Solution

The third proportional to 572,031.50 and 776,013 is: 1,052,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,031.50 : 776,013 = 776,013 : x
  2. Step 2: Convert to fraction form
    572,031.50/776,013 = 776,013/x
  3. Step 3: Cross multiply
    572,031.50x = 776,013 × 776,013
  4. Step 4: Simplify right side
    572,031.50x = 602,196,176,169
  5. Step 5: Solve for x
    x = 602,196,176,169/572,031.50
  6. Step 6: Final answer
    x = 1,052,732.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.