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Finding the Third Proportional to 249,428 and 530,014

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Solution

The third proportional to 249,428 and 530,014 is: 1,126,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,428 : 530,014 = 530,014 : x
  2. Step 2: Convert to fraction form
    249,428/530,014 = 530,014/x
  3. Step 3: Cross multiply
    249,428x = 530,014 × 530,014
  4. Step 4: Simplify right side
    249,428x = 280,914,840,196
  5. Step 5: Solve for x
    x = 280,914,840,196/249,428
  6. Step 6: Final answer
    x = 1,126,236.19

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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.