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Finding the Third Proportional to 304,506 and 432,783

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Solution

The third proportional to 304,506 and 432,783 is: 615,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,506 : 432,783 = 432,783 : x
  2. Step 2: Convert to fraction form
    304,506/432,783 = 432,783/x
  3. Step 3: Cross multiply
    304,506x = 432,783 × 432,783
  4. Step 4: Simplify right side
    304,506x = 187,301,125,089
  5. Step 5: Solve for x
    x = 187,301,125,089/304,506
  6. Step 6: Final answer
    x = 615,098.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.