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Finding the Third Proportional to 236,730 and 509,547

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Solution

The third proportional to 236,730 and 509,547 is: 1,096,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,730 : 509,547 = 509,547 : x
  2. Step 2: Convert to fraction form
    236,730/509,547 = 509,547/x
  3. Step 3: Cross multiply
    236,730x = 509,547 × 509,547
  4. Step 4: Simplify right side
    236,730x = 259,638,145,209
  5. Step 5: Solve for x
    x = 259,638,145,209/236,730
  6. Step 6: Final answer
    x = 1,096,769.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.