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Finding the Third Proportional to 585,152 and 784,416

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Solution

The third proportional to 585,152 and 784,416 is: 1,051,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,152 : 784,416 = 784,416 : x
  2. Step 2: Convert to fraction form
    585,152/784,416 = 784,416/x
  3. Step 3: Cross multiply
    585,152x = 784,416 × 784,416
  4. Step 4: Simplify right side
    585,152x = 615,308,461,056
  5. Step 5: Solve for x
    x = 615,308,461,056/585,152
  6. Step 6: Final answer
    x = 1,051,536.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.