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Finding the Third Proportional to 264,547.50 and 555,303

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Solution

The third proportional to 264,547.50 and 555,303 is: 1,165,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,547.50 : 555,303 = 555,303 : x
  2. Step 2: Convert to fraction form
    264,547.50/555,303 = 555,303/x
  3. Step 3: Cross multiply
    264,547.50x = 555,303 × 555,303
  4. Step 4: Simplify right side
    264,547.50x = 308,361,421,809
  5. Step 5: Solve for x
    x = 308,361,421,809/264,547.50
  6. Step 6: Final answer
    x = 1,165,618.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.