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Finding the Third Proportional to 462,570.75 and 529,000.88

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Solution

The third proportional to 462,570.75 and 529,000.88 is: 604,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,570.75 : 529,000.88 = 529,000.88 : x
  2. Step 2: Convert to fraction form
    462,570.75/529,000.88 = 529,000.88/x
  3. Step 3: Cross multiply
    462,570.75x = 529,000.88 × 529,000.88
  4. Step 4: Simplify right side
    462,570.75x = 279,841,925,750.77
  5. Step 5: Solve for x
    x = 279,841,925,750.77/462,570.75
  6. Step 6: Final answer
    x = 604,971.08

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.