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Finding the Third Proportional to 334,730 and 512,783

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Solution

The third proportional to 334,730 and 512,783 is: 785,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,730 : 512,783 = 512,783 : x
  2. Step 2: Convert to fraction form
    334,730/512,783 = 512,783/x
  3. Step 3: Cross multiply
    334,730x = 512,783 × 512,783
  4. Step 4: Simplify right side
    334,730x = 262,946,405,089
  5. Step 5: Solve for x
    x = 262,946,405,089/334,730
  6. Step 6: Final answer
    x = 785,547.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.