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Finding the Third Proportional to 480,900 and 750,465

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Solution

The third proportional to 480,900 and 750,465 is: 1,171,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,900 : 750,465 = 750,465 : x
  2. Step 2: Convert to fraction form
    480,900/750,465 = 750,465/x
  3. Step 3: Cross multiply
    480,900x = 750,465 × 750,465
  4. Step 4: Simplify right side
    480,900x = 563,197,716,225
  5. Step 5: Solve for x
    x = 563,197,716,225/480,900
  6. Step 6: Final answer
    x = 1,171,132.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.