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Finding the Third Proportional to 507,533.50 and 714,089.67

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Solution

The third proportional to 507,533.50 and 714,089.67 is: 1,004,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,533.50 : 714,089.67 = 714,089.67 : x
  2. Step 2: Convert to fraction form
    507,533.50/714,089.67 = 714,089.67/x
  3. Step 3: Cross multiply
    507,533.50x = 714,089.67 × 714,089.67
  4. Step 4: Simplify right side
    507,533.50x = 509,924,059,478.55
  5. Step 5: Solve for x
    x = 509,924,059,478.55/507,533.50
  6. Step 6: Final answer
    x = 1,004,710.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.