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Finding the Third Proportional to 556,308 and 794,772

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Solution

The third proportional to 556,308 and 794,772 is: 1,135,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,308 : 794,772 = 794,772 : x
  2. Step 2: Convert to fraction form
    556,308/794,772 = 794,772/x
  3. Step 3: Cross multiply
    556,308x = 794,772 × 794,772
  4. Step 4: Simplify right side
    556,308x = 631,662,531,984
  5. Step 5: Solve for x
    x = 631,662,531,984/556,308
  6. Step 6: Final answer
    x = 1,135,454.70

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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.