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Finding the Third Proportional to 507,592 and 714,169

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Solution

The third proportional to 507,592 and 714,169 is: 1,004,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,592 : 714,169 = 714,169 : x
  2. Step 2: Convert to fraction form
    507,592/714,169 = 714,169/x
  3. Step 3: Cross multiply
    507,592x = 714,169 × 714,169
  4. Step 4: Simplify right side
    507,592x = 510,037,360,561
  5. Step 5: Solve for x
    x = 510,037,360,561/507,592
  6. Step 6: Final answer
    x = 1,004,817.57

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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.