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Finding the Third Proportional to 575,520.19 and 902,851.31

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Solution

The third proportional to 575,520.19 and 902,851.31 is: 1,416,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,520.19 : 902,851.31 = 902,851.31 : x
  2. Step 2: Convert to fraction form
    575,520.19/902,851.31 = 902,851.31/x
  3. Step 3: Cross multiply
    575,520.19x = 902,851.31 × 902,851.31
  4. Step 4: Simplify right side
    575,520.19x = 815,140,492,482.97
  5. Step 5: Solve for x
    x = 815,140,492,482.97/575,520.19
  6. Step 6: Final answer
    x = 1,416,354.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.