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Finding the Third Proportional to 515,308.50 and 712,044

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Solution

The third proportional to 515,308.50 and 712,044 is: 983,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,308.50 : 712,044 = 712,044 : x
  2. Step 2: Convert to fraction form
    515,308.50/712,044 = 712,044/x
  3. Step 3: Cross multiply
    515,308.50x = 712,044 × 712,044
  4. Step 4: Simplify right side
    515,308.50x = 507,006,657,936
  5. Step 5: Solve for x
    x = 507,006,657,936/515,308.50
  6. Step 6: Final answer
    x = 983,889.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.