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Finding the Third Proportional to 510,023 and 749,482

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Solution

The third proportional to 510,023 and 749,482 is: 1,101,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,023 : 749,482 = 749,482 : x
  2. Step 2: Convert to fraction form
    510,023/749,482 = 749,482/x
  3. Step 3: Cross multiply
    510,023x = 749,482 × 749,482
  4. Step 4: Simplify right side
    510,023x = 561,723,268,324
  5. Step 5: Solve for x
    x = 561,723,268,324/510,023
  6. Step 6: Final answer
    x = 1,101,368.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.