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Finding the Third Proportional to 249,430 and 530,018

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Solution

The third proportional to 249,430 and 530,018 is: 1,126,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,430 : 530,018 = 530,018 : x
  2. Step 2: Convert to fraction form
    249,430/530,018 = 530,018/x
  3. Step 3: Cross multiply
    249,430x = 530,018 × 530,018
  4. Step 4: Simplify right side
    249,430x = 280,919,080,324
  5. Step 5: Solve for x
    x = 280,919,080,324/249,430
  6. Step 6: Final answer
    x = 1,126,244.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.